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Finding the Fourth Proportional to 10,793.81, 14,895.50 and 6,078.20

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Solution

The fourth proportional to 10,793.81, 14,895.50 and 6,078.20 is: 8,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.81 : 14,895.50 = 6,078.20 : x
  2. Step 2: Convert to fraction form
    10,793.81/14,895.50 = 6,078.20/x
  3. Step 3: Cross multiply
    10,793.81x = 14,895.50 × 6,078.20
  4. Step 4: Simplify right side
    10,793.81x = 90,537,723.23
  5. Step 5: Solve for x
    x = 90,537,723.23/10,793.81
  6. Step 6: Final answer
    x = 8,387.93

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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.