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Finding the Fourth Proportional to 8,730.24, 12,043.92 and 5,742.24

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Solution

The fourth proportional to 8,730.24, 12,043.92 and 5,742.24 is: 7,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.24 : 12,043.92 = 5,742.24 : x
  2. Step 2: Convert to fraction form
    8,730.24/12,043.92 = 5,742.24/x
  3. Step 3: Cross multiply
    8,730.24x = 12,043.92 × 5,742.24
  4. Step 4: Simplify right side
    8,730.24x = 69,159,079.18
  5. Step 5: Solve for x
    x = 69,159,079.18/8,730.24
  6. Step 6: Final answer
    x = 7,921.78

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1.5x scale

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.