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Finding the Fourth Proportional to 7,978.66, 11,929.99 and 7,281.55

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Solution

The fourth proportional to 7,978.66, 11,929.99 and 7,281.55 is: 10,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.66 : 11,929.99 = 7,281.55 : x
  2. Step 2: Convert to fraction form
    7,978.66/11,929.99 = 7,281.55/x
  3. Step 3: Cross multiply
    7,978.66x = 11,929.99 × 7,281.55
  4. Step 4: Simplify right side
    7,978.66x = 86,868,818.68
  5. Step 5: Solve for x
    x = 86,868,818.68/7,978.66
  6. Step 6: Final answer
    x = 10,887.65

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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.