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Finding the Fourth Proportional to 10,617.80, 15,904.80 and 6,221.93

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Solution

The fourth proportional to 10,617.80, 15,904.80 and 6,221.93 is: 9,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.80 : 15,904.80 = 6,221.93 : x
  2. Step 2: Convert to fraction form
    10,617.80/15,904.80 = 6,221.93/x
  3. Step 3: Cross multiply
    10,617.80x = 15,904.80 × 6,221.93
  4. Step 4: Simplify right side
    10,617.80x = 98,958,552.26
  5. Step 5: Solve for x
    x = 98,958,552.26/10,617.80
  6. Step 6: Final answer
    x = 9,320.06

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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.