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Finding the Fourth Proportional to 7,715.67, 11,569.05 and 6,793.08

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Solution

The fourth proportional to 7,715.67, 11,569.05 and 6,793.08 is: 10,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.67 : 11,569.05 = 6,793.08 : x
  2. Step 2: Convert to fraction form
    7,715.67/11,569.05 = 6,793.08/x
  3. Step 3: Cross multiply
    7,715.67x = 11,569.05 × 6,793.08
  4. Step 4: Simplify right side
    7,715.67x = 78,589,482.17
  5. Step 5: Solve for x
    x = 78,589,482.17/7,715.67
  6. Step 6: Final answer
    x = 10,185.70

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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.