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Finding the Fourth Proportional to 13,776, 20,664 and 4,542.72

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Solution

The fourth proportional to 13,776, 20,664 and 4,542.72 is: 6,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 20,664 = 4,542.72 : x
  2. Step 2: Convert to fraction form
    13,776/20,664 = 4,542.72/x
  3. Step 3: Cross multiply
    13,776x = 20,664 × 4,542.72
  4. Step 4: Simplify right side
    13,776x = 93,870,766.08
  5. Step 5: Solve for x
    x = 93,870,766.08/13,776
  6. Step 6: Final answer
    x = 6,814.08

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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.