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Finding the Fourth Proportional to 14,502.78, 21,750.19 and 5,141.54

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Solution

The fourth proportional to 14,502.78, 21,750.19 and 5,141.54 is: 7,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.78 : 21,750.19 = 5,141.54 : x
  2. Step 2: Convert to fraction form
    14,502.78/21,750.19 = 5,141.54/x
  3. Step 3: Cross multiply
    14,502.78x = 21,750.19 × 5,141.54
  4. Step 4: Simplify right side
    14,502.78x = 111,829,513.41
  5. Step 5: Solve for x
    x = 111,829,513.41/14,502.78
  6. Step 6: Final answer
    x = 7,710.90

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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.