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Finding the Fourth Proportional to 1,612.84, 2,226.12 and 1,052.35

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Solution

The fourth proportional to 1,612.84, 2,226.12 and 1,052.35 is: 1,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.84 : 2,226.12 = 1,052.35 : x
  2. Step 2: Convert to fraction form
    1,612.84/2,226.12 = 1,052.35/x
  3. Step 3: Cross multiply
    1,612.84x = 2,226.12 × 1,052.35
  4. Step 4: Simplify right side
    1,612.84x = 2,342,657.38
  5. Step 5: Solve for x
    x = 2,342,657.38/1,612.84
  6. Step 6: Final answer
    x = 1,452.50

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Half scale
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Double scale
Find fourth proportional to 1,613.84, 2,227.50 and 1,053.35
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.