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Finding the Fourth Proportional to 2,715, 3,747.42 and 1,784.76

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Solution

The fourth proportional to 2,715, 3,747.42 and 1,784.76 is: 2,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715 : 3,747.42 = 1,784.76 : x
  2. Step 2: Convert to fraction form
    2,715/3,747.42 = 1,784.76/x
  3. Step 3: Cross multiply
    2,715x = 3,747.42 × 1,784.76
  4. Step 4: Simplify right side
    2,715x = 6,688,245.32
  5. Step 5: Solve for x
    x = 6,688,245.32/2,715
  6. Step 6: Final answer
    x = 2,463.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.