Home / 7,824.83-11,737.68-1,981.49

Finding the Fourth Proportional to 7,824.83, 11,737.68 and 1,981.49

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Solution

The fourth proportional to 7,824.83, 11,737.68 and 1,981.49 is: 2,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.83 : 11,737.68 = 1,981.49 : x
  2. Step 2: Convert to fraction form
    7,824.83/11,737.68 = 1,981.49/x
  3. Step 3: Cross multiply
    7,824.83x = 11,737.68 × 1,981.49
  4. Step 4: Simplify right side
    7,824.83x = 23,258,117.46
  5. Step 5: Solve for x
    x = 23,258,117.46/7,824.83
  6. Step 6: Final answer
    x = 2,972.35

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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.