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Finding the Fourth Proportional to 8,437.64, 12,659.65 and 3,506.87

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Solution

The fourth proportional to 8,437.64, 12,659.65 and 3,506.87 is: 5,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.64 : 12,659.65 = 3,506.87 : x
  2. Step 2: Convert to fraction form
    8,437.64/12,659.65 = 3,506.87/x
  3. Step 3: Cross multiply
    8,437.64x = 12,659.65 × 3,506.87
  4. Step 4: Simplify right side
    8,437.64x = 44,395,674.73
  5. Step 5: Solve for x
    x = 44,395,674.73/8,437.64
  6. Step 6: Final answer
    x = 5,261.62

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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.