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Finding the Fourth Proportional to 2,740.79, 4,111.73 and 891.78

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Solution

The fourth proportional to 2,740.79, 4,111.73 and 891.78 is: 1,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.79 : 4,111.73 = 891.78 : x
  2. Step 2: Convert to fraction form
    2,740.79/4,111.73 = 891.78/x
  3. Step 3: Cross multiply
    2,740.79x = 4,111.73 × 891.78
  4. Step 4: Simplify right side
    2,740.79x = 3,666,754.12
  5. Step 5: Solve for x
    x = 3,666,754.12/2,740.79
  6. Step 6: Final answer
    x = 1,337.85

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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.