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Finding the Fourth Proportional to 1,612.58, 2,217.58 and 1,346.90

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Solution

The fourth proportional to 1,612.58, 2,217.58 and 1,346.90 is: 1,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.58 : 2,217.58 = 1,346.90 : x
  2. Step 2: Convert to fraction form
    1,612.58/2,217.58 = 1,346.90/x
  3. Step 3: Cross multiply
    1,612.58x = 2,217.58 × 1,346.90
  4. Step 4: Simplify right side
    1,612.58x = 2,986,844.05
  5. Step 5: Solve for x
    x = 2,986,844.05/1,612.58
  6. Step 6: Final answer
    x = 1,852.22

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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.