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Finding the Fourth Proportional to 2,277.73, 3,415.23 and 891.72

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Solution

The fourth proportional to 2,277.73, 3,415.23 and 891.72 is: 1,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.73 : 3,415.23 = 891.72 : x
  2. Step 2: Convert to fraction form
    2,277.73/3,415.23 = 891.72/x
  3. Step 3: Cross multiply
    2,277.73x = 3,415.23 × 891.72
  4. Step 4: Simplify right side
    2,277.73x = 3,045,428.90
  5. Step 5: Solve for x
    x = 3,045,428.90/2,277.73
  6. Step 6: Final answer
    x = 1,337.05

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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.