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Finding the Fourth Proportional to 6,408.64, 9,612.96 and 4,689.28

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Solution

The fourth proportional to 6,408.64, 9,612.96 and 4,689.28 is: 7,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.64 : 9,612.96 = 4,689.28 : x
  2. Step 2: Convert to fraction form
    6,408.64/9,612.96 = 4,689.28/x
  3. Step 3: Cross multiply
    6,408.64x = 9,612.96 × 4,689.28
  4. Step 4: Simplify right side
    6,408.64x = 45,077,861.07
  5. Step 5: Solve for x
    x = 45,077,861.07/6,408.64
  6. Step 6: Final answer
    x = 7,033.92

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.