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Finding the Fourth Proportional to 1,612.38, 2,225.08 and 913.88

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Solution

The fourth proportional to 1,612.38, 2,225.08 and 913.88 is: 1,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.38 : 2,225.08 = 913.88 : x
  2. Step 2: Convert to fraction form
    1,612.38/2,225.08 = 913.88/x
  3. Step 3: Cross multiply
    1,612.38x = 2,225.08 × 913.88
  4. Step 4: Simplify right side
    1,612.38x = 2,033,456.11
  5. Step 5: Solve for x
    x = 2,033,456.11/1,612.38
  6. Step 6: Final answer
    x = 1,261.15

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Half scale
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Double scale
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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.