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Finding the Fourth Proportional to 6,945.30, 10,417.95 and 6,179.85

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Solution

The fourth proportional to 6,945.30, 10,417.95 and 6,179.85 is: 9,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.30 : 10,417.95 = 6,179.85 : x
  2. Step 2: Convert to fraction form
    6,945.30/10,417.95 = 6,179.85/x
  3. Step 3: Cross multiply
    6,945.30x = 10,417.95 × 6,179.85
  4. Step 4: Simplify right side
    6,945.30x = 64,381,368.31
  5. Step 5: Solve for x
    x = 64,381,368.31/6,945.30
  6. Step 6: Final answer
    x = 9,269.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.