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Finding the Fourth Proportional to 1,373.76, 1,896.20 and 981.92

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Solution

The fourth proportional to 1,373.76, 1,896.20 and 981.92 is: 1,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.76 : 1,896.20 = 981.92 : x
  2. Step 2: Convert to fraction form
    1,373.76/1,896.20 = 981.92/x
  3. Step 3: Cross multiply
    1,373.76x = 1,896.20 × 981.92
  4. Step 4: Simplify right side
    1,373.76x = 1,861,916.70
  5. Step 5: Solve for x
    x = 1,861,916.70/1,373.76
  6. Step 6: Final answer
    x = 1,355.34

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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.