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Finding the Fourth Proportional to 9,301.81, 12,827.68 and 7,419.55

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Solution

The fourth proportional to 9,301.81, 12,827.68 and 7,419.55 is: 10,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.81 : 12,827.68 = 7,419.55 : x
  2. Step 2: Convert to fraction form
    9,301.81/12,827.68 = 7,419.55/x
  3. Step 3: Cross multiply
    9,301.81x = 12,827.68 × 7,419.55
  4. Step 4: Simplify right side
    9,301.81x = 95,175,613.14
  5. Step 5: Solve for x
    x = 95,175,613.14/9,301.81
  6. Step 6: Final answer
    x = 10,231.95

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1.5x scale

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.