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Finding the Fourth Proportional to 7,690.81, 10,613.31 and 4,154.02

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Solution

The fourth proportional to 7,690.81, 10,613.31 and 4,154.02 is: 5,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.81 : 10,613.31 = 4,154.02 : x
  2. Step 2: Convert to fraction form
    7,690.81/10,613.31 = 4,154.02/x
  3. Step 3: Cross multiply
    7,690.81x = 10,613.31 × 4,154.02
  4. Step 4: Simplify right side
    7,690.81x = 44,087,875.47
  5. Step 5: Solve for x
    x = 44,087,875.47/7,690.81
  6. Step 6: Final answer
    x = 5,732.54

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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.