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Finding the Fourth Proportional to 1,637.52, 2,255.04 and 1,605.12

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Solution

The fourth proportional to 1,637.52, 2,255.04 and 1,605.12 is: 2,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.52 : 2,255.04 = 1,605.12 : x
  2. Step 2: Convert to fraction form
    1,637.52/2,255.04 = 1,605.12/x
  3. Step 3: Cross multiply
    1,637.52x = 2,255.04 × 1,605.12
  4. Step 4: Simplify right side
    1,637.52x = 3,619,609.80
  5. Step 5: Solve for x
    x = 3,619,609.80/1,637.52
  6. Step 6: Final answer
    x = 2,210.42

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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.