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Finding the Fourth Proportional to 8,421.34, 12,632 and 2,871.88

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Solution

The fourth proportional to 8,421.34, 12,632 and 2,871.88 is: 4,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.34 : 12,632 = 2,871.88 : x
  2. Step 2: Convert to fraction form
    8,421.34/12,632 = 2,871.88/x
  3. Step 3: Cross multiply
    8,421.34x = 12,632 × 2,871.88
  4. Step 4: Simplify right side
    8,421.34x = 36,277,588.16
  5. Step 5: Solve for x
    x = 36,277,588.16/8,421.34
  6. Step 6: Final answer
    x = 4,307.82

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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.