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Finding the Fourth Proportional to 9,471.38, 13,070.50 and 5,279.63

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Solution

The fourth proportional to 9,471.38, 13,070.50 and 5,279.63 is: 7,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.38 : 13,070.50 = 5,279.63 : x
  2. Step 2: Convert to fraction form
    9,471.38/13,070.50 = 5,279.63/x
  3. Step 3: Cross multiply
    9,471.38x = 13,070.50 × 5,279.63
  4. Step 4: Simplify right side
    9,471.38x = 69,007,325.36
  5. Step 5: Solve for x
    x = 69,007,325.36/9,471.38
  6. Step 6: Final answer
    x = 7,285.88

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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.