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Finding the Fourth Proportional to 6,465.28, 8,924.80 and 5,687.68

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Solution

The fourth proportional to 6,465.28, 8,924.80 and 5,687.68 is: 7,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.28 : 8,924.80 = 5,687.68 : x
  2. Step 2: Convert to fraction form
    6,465.28/8,924.80 = 5,687.68/x
  3. Step 3: Cross multiply
    6,465.28x = 8,924.80 × 5,687.68
  4. Step 4: Simplify right side
    6,465.28x = 50,761,406.46
  5. Step 5: Solve for x
    x = 50,761,406.46/6,465.28
  6. Step 6: Final answer
    x = 7,851.39

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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.