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Finding the Fourth Proportional to 8,289.68, 11,440.74 and 4,752.88

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Solution

The fourth proportional to 8,289.68, 11,440.74 and 4,752.88 is: 6,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.68 : 11,440.74 = 4,752.88 : x
  2. Step 2: Convert to fraction form
    8,289.68/11,440.74 = 4,752.88/x
  3. Step 3: Cross multiply
    8,289.68x = 11,440.74 × 4,752.88
  4. Step 4: Simplify right side
    8,289.68x = 54,376,407.13
  5. Step 5: Solve for x
    x = 54,376,407.13/8,289.68
  6. Step 6: Final answer
    x = 6,559.53

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Half scale
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Double scale
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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.