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Finding the Fourth Proportional to 14,142, 19,516.50 and 7,854.24

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Solution

The fourth proportional to 14,142, 19,516.50 and 7,854.24 is: 10,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 19,516.50 = 7,854.24 : x
  2. Step 2: Convert to fraction form
    14,142/19,516.50 = 7,854.24/x
  3. Step 3: Cross multiply
    14,142x = 19,516.50 × 7,854.24
  4. Step 4: Simplify right side
    14,142x = 153,287,274.96
  5. Step 5: Solve for x
    x = 153,287,274.96/14,142
  6. Step 6: Final answer
    x = 10,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.