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Finding the Fourth Proportional to 7,715.72, 10,647.58 and 4,178.88

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Solution

The fourth proportional to 7,715.72, 10,647.58 and 4,178.88 is: 5,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.72 : 10,647.58 = 4,178.88 : x
  2. Step 2: Convert to fraction form
    7,715.72/10,647.58 = 4,178.88/x
  3. Step 3: Cross multiply
    7,715.72x = 10,647.58 × 4,178.88
  4. Step 4: Simplify right side
    7,715.72x = 44,494,959.11
  5. Step 5: Solve for x
    x = 44,494,959.11/7,715.72
  6. Step 6: Final answer
    x = 5,766.79

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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.