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Finding the Fourth Proportional to 19,689, 29,508.78 and 15,512.54

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Solution

The fourth proportional to 19,689, 29,508.78 and 15,512.54 is: 23,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689 : 29,508.78 = 15,512.54 : x
  2. Step 2: Convert to fraction form
    19,689/29,508.78 = 15,512.54/x
  3. Step 3: Cross multiply
    19,689x = 29,508.78 × 15,512.54
  4. Step 4: Simplify right side
    19,689x = 457,756,130.10
  5. Step 5: Solve for x
    x = 457,756,130.10/19,689
  6. Step 6: Final answer
    x = 23,249.33

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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.