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Finding the Fourth Proportional to 8,670.76, 13,008.20 and 2,827.38

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Solution

The fourth proportional to 8,670.76, 13,008.20 and 2,827.38 is: 4,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.76 : 13,008.20 = 2,827.38 : x
  2. Step 2: Convert to fraction form
    8,670.76/13,008.20 = 2,827.38/x
  3. Step 3: Cross multiply
    8,670.76x = 13,008.20 × 2,827.38
  4. Step 4: Simplify right side
    8,670.76x = 36,779,124.52
  5. Step 5: Solve for x
    x = 36,779,124.52/8,670.76
  6. Step 6: Final answer
    x = 4,241.74

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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.