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Finding the Fourth Proportional to 9,712.08, 13,402.08 and 5,520

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Solution

The fourth proportional to 9,712.08, 13,402.08 and 5,520 is: 7,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.08 : 13,402.08 = 5,520 : x
  2. Step 2: Convert to fraction form
    9,712.08/13,402.08 = 5,520/x
  3. Step 3: Cross multiply
    9,712.08x = 13,402.08 × 5,520
  4. Step 4: Simplify right side
    9,712.08x = 73,979,481.60
  5. Step 5: Solve for x
    x = 73,979,481.60/9,712.08
  6. Step 6: Final answer
    x = 7,617.26

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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.