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Finding the Fourth Proportional to 29,138, 43,707.12 and 10,670

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Solution

The fourth proportional to 29,138, 43,707.12 and 10,670 is: 16,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138 : 43,707.12 = 10,670 : x
  2. Step 2: Convert to fraction form
    29,138/43,707.12 = 10,670/x
  3. Step 3: Cross multiply
    29,138x = 43,707.12 × 10,670
  4. Step 4: Simplify right side
    29,138x = 466,354,970.40
  5. Step 5: Solve for x
    x = 466,354,970.40/29,138
  6. Step 6: Final answer
    x = 16,005.04

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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.