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Finding the Fourth Proportional to 6,899.28, 10,298.88 and 6,385.32

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Solution

The fourth proportional to 6,899.28, 10,298.88 and 6,385.32 is: 9,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.28 : 10,298.88 = 6,385.32 : x
  2. Step 2: Convert to fraction form
    6,899.28/10,298.88 = 6,385.32/x
  3. Step 3: Cross multiply
    6,899.28x = 10,298.88 × 6,385.32
  4. Step 4: Simplify right side
    6,899.28x = 65,761,644.44
  5. Step 5: Solve for x
    x = 65,761,644.44/6,899.28
  6. Step 6: Final answer
    x = 9,531.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.