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Finding the Fourth Proportional to 11,489, 15,854.82 and 6,521

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Solution

The fourth proportional to 11,489, 15,854.82 and 6,521 is: 8,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489 : 15,854.82 = 6,521 : x
  2. Step 2: Convert to fraction form
    11,489/15,854.82 = 6,521/x
  3. Step 3: Cross multiply
    11,489x = 15,854.82 × 6,521
  4. Step 4: Simplify right side
    11,489x = 103,389,281.22
  5. Step 5: Solve for x
    x = 103,389,281.22/11,489
  6. Step 6: Final answer
    x = 8,998.98

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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.