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Finding the Fourth Proportional to 11,396, 15,724.58 and 7,613.10

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Solution

The fourth proportional to 11,396, 15,724.58 and 7,613.10 is: 10,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396 : 15,724.58 = 7,613.10 : x
  2. Step 2: Convert to fraction form
    11,396/15,724.58 = 7,613.10/x
  3. Step 3: Cross multiply
    11,396x = 15,724.58 × 7,613.10
  4. Step 4: Simplify right side
    11,396x = 119,712,800.00
  5. Step 5: Solve for x
    x = 119,712,800.00/11,396
  6. Step 6: Final answer
    x = 10,504.81

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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.