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Finding the Fourth Proportional to 8,642.88, 11,927.12 and 5,499

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Solution

The fourth proportional to 8,642.88, 11,927.12 and 5,499 is: 7,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.88 : 11,927.12 = 5,499 : x
  2. Step 2: Convert to fraction form
    8,642.88/11,927.12 = 5,499/x
  3. Step 3: Cross multiply
    8,642.88x = 11,927.12 × 5,499
  4. Step 4: Simplify right side
    8,642.88x = 65,587,205.39
  5. Step 5: Solve for x
    x = 65,587,205.39/8,642.88
  6. Step 6: Final answer
    x = 7,588.58

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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.