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Finding the Fourth Proportional to 11,335.17, 16,978.14 and 5,479.50

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Solution

The fourth proportional to 11,335.17, 16,978.14 and 5,479.50 is: 8,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.17 : 16,978.14 = 5,479.50 : x
  2. Step 2: Convert to fraction form
    11,335.17/16,978.14 = 5,479.50/x
  3. Step 3: Cross multiply
    11,335.17x = 16,978.14 × 5,479.50
  4. Step 4: Simplify right side
    11,335.17x = 93,031,718.13
  5. Step 5: Solve for x
    x = 93,031,718.13/11,335.17
  6. Step 6: Final answer
    x = 8,207.35

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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.