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Finding the Fourth Proportional to 9,712, 13,402.56 and 5,296

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Solution

The fourth proportional to 9,712, 13,402.56 and 5,296 is: 7,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 13,402.56 = 5,296 : x
  2. Step 2: Convert to fraction form
    9,712/13,402.56 = 5,296/x
  3. Step 3: Cross multiply
    9,712x = 13,402.56 × 5,296
  4. Step 4: Simplify right side
    9,712x = 70,979,957.76
  5. Step 5: Solve for x
    x = 70,979,957.76/9,712
  6. Step 6: Final answer
    x = 7,308.48

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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.