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Finding the Fourth Proportional to 8,512.90, 12,762.97 and 5,731.76

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Solution

The fourth proportional to 8,512.90, 12,762.97 and 5,731.76 is: 8,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.90 : 12,762.97 = 5,731.76 : x
  2. Step 2: Convert to fraction form
    8,512.90/12,762.97 = 5,731.76/x
  3. Step 3: Cross multiply
    8,512.90x = 12,762.97 × 5,731.76
  4. Step 4: Simplify right side
    8,512.90x = 73,154,298.51
  5. Step 5: Solve for x
    x = 73,154,298.51/8,512.90
  6. Step 6: Final answer
    x = 8,593.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.