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Finding the Fourth Proportional to 6,658.47, 9,992.16 and 2,762.88

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Solution

The fourth proportional to 6,658.47, 9,992.16 and 2,762.88 is: 4,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.47 : 9,992.16 = 2,762.88 : x
  2. Step 2: Convert to fraction form
    6,658.47/9,992.16 = 2,762.88/x
  3. Step 3: Cross multiply
    6,658.47x = 9,992.16 × 2,762.88
  4. Step 4: Simplify right side
    6,658.47x = 27,607,114.04
  5. Step 5: Solve for x
    x = 27,607,114.04/6,658.47
  6. Step 6: Final answer
    x = 4,146.17

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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.