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Finding the Fourth Proportional to 3,107.76, 4,658.40 and 1,937.76

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Solution

The fourth proportional to 3,107.76, 4,658.40 and 1,937.76 is: 2,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.76 : 4,658.40 = 1,937.76 : x
  2. Step 2: Convert to fraction form
    3,107.76/4,658.40 = 1,937.76/x
  3. Step 3: Cross multiply
    3,107.76x = 4,658.40 × 1,937.76
  4. Step 4: Simplify right side
    3,107.76x = 9,026,861.18
  5. Step 5: Solve for x
    x = 9,026,861.18/3,107.76
  6. Step 6: Final answer
    x = 2,904.62

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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.