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Finding the Fourth Proportional to 14,700, 22,035.42 and 8,129.28

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Solution

The fourth proportional to 14,700, 22,035.42 and 8,129.28 is: 12,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700 : 22,035.42 = 8,129.28 : x
  2. Step 2: Convert to fraction form
    14,700/22,035.42 = 8,129.28/x
  3. Step 3: Cross multiply
    14,700x = 22,035.42 × 8,129.28
  4. Step 4: Simplify right side
    14,700x = 179,132,099.10
  5. Step 5: Solve for x
    x = 179,132,099.10/14,700
  6. Step 6: Final answer
    x = 12,185.86

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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.