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Finding the Fourth Proportional to 9,619.65, 14,434.47 and 7,278.95

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Solution

The fourth proportional to 9,619.65, 14,434.47 and 7,278.95 is: 10,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.65 : 14,434.47 = 7,278.95 : x
  2. Step 2: Convert to fraction form
    9,619.65/14,434.47 = 7,278.95/x
  3. Step 3: Cross multiply
    9,619.65x = 14,434.47 × 7,278.95
  4. Step 4: Simplify right side
    9,619.65x = 105,067,770.49
  5. Step 5: Solve for x
    x = 105,067,770.49/9,619.65
  6. Step 6: Final answer
    x = 10,922.20

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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.