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Finding the Fourth Proportional to 19,689.28, 29,513.02 and 9,679.90

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Solution

The fourth proportional to 19,689.28, 29,513.02 and 9,679.90 is: 14,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.28 : 29,513.02 = 9,679.90 : x
  2. Step 2: Convert to fraction form
    19,689.28/29,513.02 = 9,679.90/x
  3. Step 3: Cross multiply
    19,689.28x = 29,513.02 × 9,679.90
  4. Step 4: Simplify right side
    19,689.28x = 285,683,082.30
  5. Step 5: Solve for x
    x = 285,683,082.30/19,689.28
  6. Step 6: Final answer
    x = 14,509.57

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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.