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Finding the Fourth Proportional to 3,765.48, 5,648.22 and 1,457.52

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Solution

The fourth proportional to 3,765.48, 5,648.22 and 1,457.52 is: 2,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.48 : 5,648.22 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    3,765.48/5,648.22 = 1,457.52/x
  3. Step 3: Cross multiply
    3,765.48x = 5,648.22 × 1,457.52
  4. Step 4: Simplify right side
    3,765.48x = 8,232,393.61
  5. Step 5: Solve for x
    x = 8,232,393.61/3,765.48
  6. Step 6: Final answer
    x = 2,186.28

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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.