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Finding the Fourth Proportional to 8,461.76, 12,690.40 and 2,304.32

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Solution

The fourth proportional to 8,461.76, 12,690.40 and 2,304.32 is: 3,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.76 : 12,690.40 = 2,304.32 : x
  2. Step 2: Convert to fraction form
    8,461.76/12,690.40 = 2,304.32/x
  3. Step 3: Cross multiply
    8,461.76x = 12,690.40 × 2,304.32
  4. Step 4: Simplify right side
    8,461.76x = 29,242,742.53
  5. Step 5: Solve for x
    x = 29,242,742.53/8,461.76
  6. Step 6: Final answer
    x = 3,455.87

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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.