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Finding the Fourth Proportional to 8,502, 11,732.76 and 4,776.72

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Solution

The fourth proportional to 8,502, 11,732.76 and 4,776.72 is: 6,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 11,732.76 = 4,776.72 : x
  2. Step 2: Convert to fraction form
    8,502/11,732.76 = 4,776.72/x
  3. Step 3: Cross multiply
    8,502x = 11,732.76 × 4,776.72
  4. Step 4: Simplify right side
    8,502x = 56,044,109.35
  5. Step 5: Solve for x
    x = 56,044,109.35/8,502
  6. Step 6: Final answer
    x = 6,591.87

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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.