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Finding the Fourth Proportional to 38,484, 57,735.72 and 10,782

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Solution

The fourth proportional to 38,484, 57,735.72 and 10,782 is: 16,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484 : 57,735.72 = 10,782 : x
  2. Step 2: Convert to fraction form
    38,484/57,735.72 = 10,782/x
  3. Step 3: Cross multiply
    38,484x = 57,735.72 × 10,782
  4. Step 4: Simplify right side
    38,484x = 622,506,533.04
  5. Step 5: Solve for x
    x = 622,506,533.04/38,484
  6. Step 6: Final answer
    x = 16,175.72

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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.