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Finding the Fourth Proportional to 30,871.96, 46,308.17 and 8,687.58

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Solution

The fourth proportional to 30,871.96, 46,308.17 and 8,687.58 is: 13,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.96 : 46,308.17 = 8,687.58 : x
  2. Step 2: Convert to fraction form
    30,871.96/46,308.17 = 8,687.58/x
  3. Step 3: Cross multiply
    30,871.96x = 46,308.17 × 8,687.58
  4. Step 4: Simplify right side
    30,871.96x = 402,305,931.53
  5. Step 5: Solve for x
    x = 402,305,931.53/30,871.96
  6. Step 6: Final answer
    x = 13,031.43

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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.