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Finding the Fourth Proportional to 9,471, 13,070.04 and 5,279.28

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Solution

The fourth proportional to 9,471, 13,070.04 and 5,279.28 is: 7,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471 : 13,070.04 = 5,279.28 : x
  2. Step 2: Convert to fraction form
    9,471/13,070.04 = 5,279.28/x
  3. Step 3: Cross multiply
    9,471x = 13,070.04 × 5,279.28
  4. Step 4: Simplify right side
    9,471x = 69,000,400.77
  5. Step 5: Solve for x
    x = 69,000,400.77/9,471
  6. Step 6: Final answer
    x = 7,285.44

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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.