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Finding the Fourth Proportional to 8,523.61, 11,765.78 and 4,987.96

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Solution

The fourth proportional to 8,523.61, 11,765.78 and 4,987.96 is: 6,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.61 : 11,765.78 = 4,987.96 : x
  2. Step 2: Convert to fraction form
    8,523.61/11,765.78 = 4,987.96/x
  3. Step 3: Cross multiply
    8,523.61x = 11,765.78 × 4,987.96
  4. Step 4: Simplify right side
    8,523.61x = 58,687,240.01
  5. Step 5: Solve for x
    x = 58,687,240.01/8,523.61
  6. Step 6: Final answer
    x = 6,885.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.