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Finding the Fourth Proportional to 7,766.31, 10,715.16 and 7,017.87

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Solution

The fourth proportional to 7,766.31, 10,715.16 and 7,017.87 is: 9,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.31 : 10,715.16 = 7,017.87 : x
  2. Step 2: Convert to fraction form
    7,766.31/10,715.16 = 7,017.87/x
  3. Step 3: Cross multiply
    7,766.31x = 10,715.16 × 7,017.87
  4. Step 4: Simplify right side
    7,766.31x = 75,197,599.91
  5. Step 5: Solve for x
    x = 75,197,599.91/7,766.31
  6. Step 6: Final answer
    x = 9,682.54

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1.5x scale

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.