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Finding the Fourth Proportional to 7,897.60, 10,900.39 and 5,385.70

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Solution

The fourth proportional to 7,897.60, 10,900.39 and 5,385.70 is: 7,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.60 : 10,900.39 = 5,385.70 : x
  2. Step 2: Convert to fraction form
    7,897.60/10,900.39 = 5,385.70/x
  3. Step 3: Cross multiply
    7,897.60x = 10,900.39 × 5,385.70
  4. Step 4: Simplify right side
    7,897.60x = 58,706,230.42
  5. Step 5: Solve for x
    x = 58,706,230.42/7,897.60
  6. Step 6: Final answer
    x = 7,433.43

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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.