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Finding the Fourth Proportional to 8,965.76, 13,454.12 and 5,275.20

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Solution

The fourth proportional to 8,965.76, 13,454.12 and 5,275.20 is: 7,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.76 : 13,454.12 = 5,275.20 : x
  2. Step 2: Convert to fraction form
    8,965.76/13,454.12 = 5,275.20/x
  3. Step 3: Cross multiply
    8,965.76x = 13,454.12 × 5,275.20
  4. Step 4: Simplify right side
    8,965.76x = 70,973,173.82
  5. Step 5: Solve for x
    x = 70,973,173.82/8,965.76
  6. Step 6: Final answer
    x = 7,916.02

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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.