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Finding the Fourth Proportional to 11,501.36, 15,873.20 and 6,397.38

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Solution

The fourth proportional to 11,501.36, 15,873.20 and 6,397.38 is: 8,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.36 : 15,873.20 = 6,397.38 : x
  2. Step 2: Convert to fraction form
    11,501.36/15,873.20 = 6,397.38/x
  3. Step 3: Cross multiply
    11,501.36x = 15,873.20 × 6,397.38
  4. Step 4: Simplify right side
    11,501.36x = 101,546,860.23
  5. Step 5: Solve for x
    x = 101,546,860.23/11,501.36
  6. Step 6: Final answer
    x = 8,829.12

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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.