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Finding the Fourth Proportional to 6,472, 8,928.16 and 4,080.88

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Solution

The fourth proportional to 6,472, 8,928.16 and 4,080.88 is: 5,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 8,928.16 = 4,080.88 : x
  2. Step 2: Convert to fraction form
    6,472/8,928.16 = 4,080.88/x
  3. Step 3: Cross multiply
    6,472x = 8,928.16 × 4,080.88
  4. Step 4: Simplify right side
    6,472x = 36,434,749.58
  5. Step 5: Solve for x
    x = 36,434,749.58/6,472
  6. Step 6: Final answer
    x = 5,629.60

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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.