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Finding the Fourth Proportional to 7,752.66, 11,630.07 and 2,557.86

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Solution

The fourth proportional to 7,752.66, 11,630.07 and 2,557.86 is: 3,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.66 : 11,630.07 = 2,557.86 : x
  2. Step 2: Convert to fraction form
    7,752.66/11,630.07 = 2,557.86/x
  3. Step 3: Cross multiply
    7,752.66x = 11,630.07 × 2,557.86
  4. Step 4: Simplify right side
    7,752.66x = 29,748,090.85
  5. Step 5: Solve for x
    x = 29,748,090.85/7,752.66
  6. Step 6: Final answer
    x = 3,837.15

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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.