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Finding the Fourth Proportional to 2,577.70, 3,866.54 and 933.86

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Solution

The fourth proportional to 2,577.70, 3,866.54 and 933.86 is: 1,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.70 : 3,866.54 = 933.86 : x
  2. Step 2: Convert to fraction form
    2,577.70/3,866.54 = 933.86/x
  3. Step 3: Cross multiply
    2,577.70x = 3,866.54 × 933.86
  4. Step 4: Simplify right side
    2,577.70x = 3,610,812.04
  5. Step 5: Solve for x
    x = 3,610,812.04/2,577.70
  6. Step 6: Final answer
    x = 1,400.79

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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.