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Finding the Fourth Proportional to 39,240, 58,872.96 and 15,853.68

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Solution

The fourth proportional to 39,240, 58,872.96 and 15,853.68 is: 23,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,240 : 58,872.96 = 15,853.68 : x
  2. Step 2: Convert to fraction form
    39,240/58,872.96 = 15,853.68/x
  3. Step 3: Cross multiply
    39,240x = 58,872.96 × 15,853.68
  4. Step 4: Simplify right side
    39,240x = 933,353,068.49
  5. Step 5: Solve for x
    x = 933,353,068.49/39,240
  6. Step 6: Final answer
    x = 23,785.76

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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.