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Finding the Fourth Proportional to 5,636.48, 8,461.20 and 3,459.20

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Solution

The fourth proportional to 5,636.48, 8,461.20 and 3,459.20 is: 5,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.48 : 8,461.20 = 3,459.20 : x
  2. Step 2: Convert to fraction form
    5,636.48/8,461.20 = 3,459.20/x
  3. Step 3: Cross multiply
    5,636.48x = 8,461.20 × 3,459.20
  4. Step 4: Simplify right side
    5,636.48x = 29,268,983.04
  5. Step 5: Solve for x
    x = 29,268,983.04/5,636.48
  6. Step 6: Final answer
    x = 5,192.78

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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.