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Finding the Fourth Proportional to 7,765.32, 10,715.80 and 4,228.32

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Solution

The fourth proportional to 7,765.32, 10,715.80 and 4,228.32 is: 5,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.32 : 10,715.80 = 4,228.32 : x
  2. Step 2: Convert to fraction form
    7,765.32/10,715.80 = 4,228.32/x
  3. Step 3: Cross multiply
    7,765.32x = 10,715.80 × 4,228.32
  4. Step 4: Simplify right side
    7,765.32x = 45,309,831.46
  5. Step 5: Solve for x
    x = 45,309,831.46/7,765.32
  6. Step 6: Final answer
    x = 5,834.90

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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.