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Finding the Fourth Proportional to 3,753.80, 5,616.30 and 2,457.80

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Solution

The fourth proportional to 3,753.80, 5,616.30 and 2,457.80 is: 3,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.80 : 5,616.30 = 2,457.80 : x
  2. Step 2: Convert to fraction form
    3,753.80/5,616.30 = 2,457.80/x
  3. Step 3: Cross multiply
    3,753.80x = 5,616.30 × 2,457.80
  4. Step 4: Simplify right side
    3,753.80x = 13,803,742.14
  5. Step 5: Solve for x
    x = 13,803,742.14/3,753.80
  6. Step 6: Final answer
    x = 3,677.27

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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.