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Finding the Fourth Proportional to 2,737.76, 3,778.10 and 1,559.50

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Solution

The fourth proportional to 2,737.76, 3,778.10 and 1,559.50 is: 2,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.76 : 3,778.10 = 1,559.50 : x
  2. Step 2: Convert to fraction form
    2,737.76/3,778.10 = 1,559.50/x
  3. Step 3: Cross multiply
    2,737.76x = 3,778.10 × 1,559.50
  4. Step 4: Simplify right side
    2,737.76x = 5,891,946.95
  5. Step 5: Solve for x
    x = 5,891,946.95/2,737.76
  6. Step 6: Final answer
    x = 2,152.10

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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.