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Finding the Fourth Proportional to 9,320.66, 13,978.02 and 3,079.22

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Solution

The fourth proportional to 9,320.66, 13,978.02 and 3,079.22 is: 4,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.66 : 13,978.02 = 3,079.22 : x
  2. Step 2: Convert to fraction form
    9,320.66/13,978.02 = 3,079.22/x
  3. Step 3: Cross multiply
    9,320.66x = 13,978.02 × 3,079.22
  4. Step 4: Simplify right side
    9,320.66x = 43,041,398.74
  5. Step 5: Solve for x
    x = 43,041,398.74/9,320.66
  6. Step 6: Final answer
    x = 4,617.85

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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.