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Finding the Fourth Proportional to 38,400.57, 57,600.85 and 10,698.57

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Solution

The fourth proportional to 38,400.57, 57,600.85 and 10,698.57 is: 16,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.57 : 57,600.85 = 10,698.57 : x
  2. Step 2: Convert to fraction form
    38,400.57/57,600.85 = 10,698.57/x
  3. Step 3: Cross multiply
    38,400.57x = 57,600.85 × 10,698.57
  4. Step 4: Simplify right side
    38,400.57x = 616,246,384.29
  5. Step 5: Solve for x
    x = 616,246,384.29/38,400.57
  6. Step 6: Final answer
    x = 16,047.85

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1.5x scale

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.