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Finding the Fourth Proportional to 8,457.80, 12,686.70 and 7,728.20

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Solution

The fourth proportional to 8,457.80, 12,686.70 and 7,728.20 is: 11,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.80 : 12,686.70 = 7,728.20 : x
  2. Step 2: Convert to fraction form
    8,457.80/12,686.70 = 7,728.20/x
  3. Step 3: Cross multiply
    8,457.80x = 12,686.70 × 7,728.20
  4. Step 4: Simplify right side
    8,457.80x = 98,045,354.94
  5. Step 5: Solve for x
    x = 98,045,354.94/8,457.80
  6. Step 6: Final answer
    x = 11,592.30

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Half scale
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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.