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Finding the Fourth Proportional to 29,906, 44,860.80 and 9,129.68

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Solution

The fourth proportional to 29,906, 44,860.80 and 9,129.68 is: 13,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906 : 44,860.80 = 9,129.68 : x
  2. Step 2: Convert to fraction form
    29,906/44,860.80 = 9,129.68/x
  3. Step 3: Cross multiply
    29,906x = 44,860.80 × 9,129.68
  4. Step 4: Simplify right side
    29,906x = 409,564,748.54
  5. Step 5: Solve for x
    x = 409,564,748.54/29,906
  6. Step 6: Final answer
    x = 13,695.07

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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.