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Finding the Fourth Proportional to 1,981.32, 2,959.07 and 1,685.67

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Solution

The fourth proportional to 1,981.32, 2,959.07 and 1,685.67 is: 2,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.32 : 2,959.07 = 1,685.67 : x
  2. Step 2: Convert to fraction form
    1,981.32/2,959.07 = 1,685.67/x
  3. Step 3: Cross multiply
    1,981.32x = 2,959.07 × 1,685.67
  4. Step 4: Simplify right side
    1,981.32x = 4,988,015.53
  5. Step 5: Solve for x
    x = 4,988,015.53/1,981.32
  6. Step 6: Final answer
    x = 2,517.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.