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Finding the Fourth Proportional to 7,553.60, 10,400.64 and 6,279.20

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Solution

The fourth proportional to 7,553.60, 10,400.64 and 6,279.20 is: 8,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.60 : 10,400.64 = 6,279.20 : x
  2. Step 2: Convert to fraction form
    7,553.60/10,400.64 = 6,279.20/x
  3. Step 3: Cross multiply
    7,553.60x = 10,400.64 × 6,279.20
  4. Step 4: Simplify right side
    7,553.60x = 65,307,698.69
  5. Step 5: Solve for x
    x = 65,307,698.69/7,553.60
  6. Step 6: Final answer
    x = 8,645.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.