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Finding the Fourth Proportional to 7,221.11, 9,959.80 and 4,565.95

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Solution

The fourth proportional to 7,221.11, 9,959.80 and 4,565.95 is: 6,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.11 : 9,959.80 = 4,565.95 : x
  2. Step 2: Convert to fraction form
    7,221.11/9,959.80 = 4,565.95/x
  3. Step 3: Cross multiply
    7,221.11x = 9,959.80 × 4,565.95
  4. Step 4: Simplify right side
    7,221.11x = 45,475,970.66
  5. Step 5: Solve for x
    x = 45,475,970.66/7,221.11
  6. Step 6: Final answer
    x = 6,297.64

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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.