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Finding the Fourth Proportional to 2,500.71, 3,746.19 and 1,632.39

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Solution

The fourth proportional to 2,500.71, 3,746.19 and 1,632.39 is: 2,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.71 : 3,746.19 = 1,632.39 : x
  2. Step 2: Convert to fraction form
    2,500.71/3,746.19 = 1,632.39/x
  3. Step 3: Cross multiply
    2,500.71x = 3,746.19 × 1,632.39
  4. Step 4: Simplify right side
    2,500.71x = 6,115,243.09
  5. Step 5: Solve for x
    x = 6,115,243.09/2,500.71
  6. Step 6: Final answer
    x = 2,445.40

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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.