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Finding the Fourth Proportional to 10,022.68, 13,826.92 and 6,041.52

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Solution

The fourth proportional to 10,022.68, 13,826.92 and 6,041.52 is: 8,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.68 : 13,826.92 = 6,041.52 : x
  2. Step 2: Convert to fraction form
    10,022.68/13,826.92 = 6,041.52/x
  3. Step 3: Cross multiply
    10,022.68x = 13,826.92 × 6,041.52
  4. Step 4: Simplify right side
    10,022.68x = 83,535,613.72
  5. Step 5: Solve for x
    x = 83,535,613.72/10,022.68
  6. Step 6: Final answer
    x = 8,334.66

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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.