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Finding the Fourth Proportional to 2,459.38, 3,689.12 and 728.06

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Solution

The fourth proportional to 2,459.38, 3,689.12 and 728.06 is: 1,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.38 : 3,689.12 = 728.06 : x
  2. Step 2: Convert to fraction form
    2,459.38/3,689.12 = 728.06/x
  3. Step 3: Cross multiply
    2,459.38x = 3,689.12 × 728.06
  4. Step 4: Simplify right side
    2,459.38x = 2,685,900.71
  5. Step 5: Solve for x
    x = 2,685,900.71/2,459.38
  6. Step 6: Final answer
    x = 1,092.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.