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Finding the Fourth Proportional to 10,862.86, 14,998 and 7,324.78

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Solution

The fourth proportional to 10,862.86, 14,998 and 7,324.78 is: 10,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.86 : 14,998 = 7,324.78 : x
  2. Step 2: Convert to fraction form
    10,862.86/14,998 = 7,324.78/x
  3. Step 3: Cross multiply
    10,862.86x = 14,998 × 7,324.78
  4. Step 4: Simplify right side
    10,862.86x = 109,856,975.45
  5. Step 5: Solve for x
    x = 109,856,975.45/10,862.86
  6. Step 6: Final answer
    x = 10,113.08

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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.