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Finding the Fourth Proportional to 6,465.65, 8,921.90 and 4,340.75

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Solution

The fourth proportional to 6,465.65, 8,921.90 and 4,340.75 is: 5,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.65 : 8,921.90 = 4,340.75 : x
  2. Step 2: Convert to fraction form
    6,465.65/8,921.90 = 4,340.75/x
  3. Step 3: Cross multiply
    6,465.65x = 8,921.90 × 4,340.75
  4. Step 4: Simplify right side
    6,465.65x = 38,727,671.11
  5. Step 5: Solve for x
    x = 38,727,671.11/6,465.65
  6. Step 6: Final answer
    x = 5,989.76

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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.