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Finding the Fourth Proportional to 8,318.60, 11,480.10 and 4,782.14

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Solution

The fourth proportional to 8,318.60, 11,480.10 and 4,782.14 is: 6,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.60 : 11,480.10 = 4,782.14 : x
  2. Step 2: Convert to fraction form
    8,318.60/11,480.10 = 4,782.14/x
  3. Step 3: Cross multiply
    8,318.60x = 11,480.10 × 4,782.14
  4. Step 4: Simplify right side
    8,318.60x = 54,899,445.41
  5. Step 5: Solve for x
    x = 54,899,445.41/8,318.60
  6. Step 6: Final answer
    x = 6,599.60

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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.