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Finding the Fourth Proportional to 11,499, 15,868.64 and 6,531

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Solution

The fourth proportional to 11,499, 15,868.64 and 6,531 is: 9,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499 : 15,868.64 = 6,531 : x
  2. Step 2: Convert to fraction form
    11,499/15,868.64 = 6,531/x
  3. Step 3: Cross multiply
    11,499x = 15,868.64 × 6,531
  4. Step 4: Simplify right side
    11,499x = 103,638,087.84
  5. Step 5: Solve for x
    x = 103,638,087.84/11,499
  6. Step 6: Final answer
    x = 9,012.79

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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.