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Finding the Fourth Proportional to 39,024, 58,546.80 and 12,728.16

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Solution

The fourth proportional to 39,024, 58,546.80 and 12,728.16 is: 19,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 58,546.80 = 12,728.16 : x
  2. Step 2: Convert to fraction form
    39,024/58,546.80 = 12,728.16/x
  3. Step 3: Cross multiply
    39,024x = 58,546.80 × 12,728.16
  4. Step 4: Simplify right side
    39,024x = 745,193,037.89
  5. Step 5: Solve for x
    x = 745,193,037.89/39,024
  6. Step 6: Final answer
    x = 19,095.76

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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.