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Finding the Fourth Proportional to 7,330.71, 10,117.74 and 4,186.90

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Solution

The fourth proportional to 7,330.71, 10,117.74 and 4,186.90 is: 5,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.71 : 10,117.74 = 4,186.90 : x
  2. Step 2: Convert to fraction form
    7,330.71/10,117.74 = 4,186.90/x
  3. Step 3: Cross multiply
    7,330.71x = 10,117.74 × 4,186.90
  4. Step 4: Simplify right side
    7,330.71x = 42,361,937.26
  5. Step 5: Solve for x
    x = 42,361,937.26/7,330.71
  6. Step 6: Final answer
    x = 5,778.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.