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Finding the Fourth Proportional to 14,159.78, 21,240.02 and 7,916.30

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Solution

The fourth proportional to 14,159.78, 21,240.02 and 7,916.30 is: 11,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.78 : 21,240.02 = 7,916.30 : x
  2. Step 2: Convert to fraction form
    14,159.78/21,240.02 = 7,916.30/x
  3. Step 3: Cross multiply
    14,159.78x = 21,240.02 × 7,916.30
  4. Step 4: Simplify right side
    14,159.78x = 168,142,283.92
  5. Step 5: Solve for x
    x = 168,142,283.92/14,159.78
  6. Step 6: Final answer
    x = 11,874.64

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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.