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Finding the Fourth Proportional to 7,764.54, 10,715.12 and 4,227.77

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Solution

The fourth proportional to 7,764.54, 10,715.12 and 4,227.77 is: 5,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.54 : 10,715.12 = 4,227.77 : x
  2. Step 2: Convert to fraction form
    7,764.54/10,715.12 = 4,227.77/x
  3. Step 3: Cross multiply
    7,764.54x = 10,715.12 × 4,227.77
  4. Step 4: Simplify right side
    7,764.54x = 45,300,988.17
  5. Step 5: Solve for x
    x = 45,300,988.17/7,764.54
  6. Step 6: Final answer
    x = 5,834.34

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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.