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Finding the Fourth Proportional to 5,649, 8,457.10 and 5,056.20

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Solution

The fourth proportional to 5,649, 8,457.10 and 5,056.20 is: 7,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649 : 8,457.10 = 5,056.20 : x
  2. Step 2: Convert to fraction form
    5,649/8,457.10 = 5,056.20/x
  3. Step 3: Cross multiply
    5,649x = 8,457.10 × 5,056.20
  4. Step 4: Simplify right side
    5,649x = 42,760,789.02
  5. Step 5: Solve for x
    x = 42,760,789.02/5,649
  6. Step 6: Final answer
    x = 7,569.62

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Half scale
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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.