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Finding the Fourth Proportional to 7,378.80, 11,069.52 and 2,184.52

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Solution

The fourth proportional to 7,378.80, 11,069.52 and 2,184.52 is: 3,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.80 : 11,069.52 = 2,184.52 : x
  2. Step 2: Convert to fraction form
    7,378.80/11,069.52 = 2,184.52/x
  3. Step 3: Cross multiply
    7,378.80x = 11,069.52 × 2,184.52
  4. Step 4: Simplify right side
    7,378.80x = 24,181,587.83
  5. Step 5: Solve for x
    x = 24,181,587.83/7,378.80
  6. Step 6: Final answer
    x = 3,277.17

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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.