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Finding the Fourth Proportional to 7,074.41, 9,764.69 and 4,242.71

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Solution

The fourth proportional to 7,074.41, 9,764.69 and 4,242.71 is: 5,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.41 : 9,764.69 = 4,242.71 : x
  2. Step 2: Convert to fraction form
    7,074.41/9,764.69 = 4,242.71/x
  3. Step 3: Cross multiply
    7,074.41x = 9,764.69 × 4,242.71
  4. Step 4: Simplify right side
    7,074.41x = 41,428,751.11
  5. Step 5: Solve for x
    x = 41,428,751.11/7,074.41
  6. Step 6: Final answer
    x = 5,856.15

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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.