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Finding the Fourth Proportional to 1,688.07, 2,532.07 and 1,398.90

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Solution

The fourth proportional to 1,688.07, 2,532.07 and 1,398.90 is: 2,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.07 : 2,532.07 = 1,398.90 : x
  2. Step 2: Convert to fraction form
    1,688.07/2,532.07 = 1,398.90/x
  3. Step 3: Cross multiply
    1,688.07x = 2,532.07 × 1,398.90
  4. Step 4: Simplify right side
    1,688.07x = 3,542,112.72
  5. Step 5: Solve for x
    x = 3,542,112.72/1,688.07
  6. Step 6: Final answer
    x = 2,098.32

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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.