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Finding the Fourth Proportional to 6,297.40, 8,702.40 and 4,722.76

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Solution

The fourth proportional to 6,297.40, 8,702.40 and 4,722.76 is: 6,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.40 : 8,702.40 = 4,722.76 : x
  2. Step 2: Convert to fraction form
    6,297.40/8,702.40 = 4,722.76/x
  3. Step 3: Cross multiply
    6,297.40x = 8,702.40 × 4,722.76
  4. Step 4: Simplify right side
    6,297.40x = 41,099,346.62
  5. Step 5: Solve for x
    x = 41,099,346.62/6,297.40
  6. Step 6: Final answer
    x = 6,526.40

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Half scale
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Find fourth proportional to 6,298.40, 8,703.78 and 4,723.76
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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.