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Finding the Fourth Proportional to 8,531.02, 11,762.52 and 7,116.76

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Solution

The fourth proportional to 8,531.02, 11,762.52 and 7,116.76 is: 9,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.02 : 11,762.52 = 7,116.76 : x
  2. Step 2: Convert to fraction form
    8,531.02/11,762.52 = 7,116.76/x
  3. Step 3: Cross multiply
    8,531.02x = 11,762.52 × 7,116.76
  4. Step 4: Simplify right side
    8,531.02x = 83,711,031.84
  5. Step 5: Solve for x
    x = 83,711,031.84/8,531.02
  6. Step 6: Final answer
    x = 9,812.55

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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.