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Finding the Fourth Proportional to 9,301.76, 13,948.20 and 5,407.28

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Solution

The fourth proportional to 9,301.76, 13,948.20 and 5,407.28 is: 8,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.76 : 13,948.20 = 5,407.28 : x
  2. Step 2: Convert to fraction form
    9,301.76/13,948.20 = 5,407.28/x
  3. Step 3: Cross multiply
    9,301.76x = 13,948.20 × 5,407.28
  4. Step 4: Simplify right side
    9,301.76x = 75,421,822.90
  5. Step 5: Solve for x
    x = 75,421,822.90/9,301.76
  6. Step 6: Final answer
    x = 8,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.