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Finding the Fourth Proportional to 7,143.51, 10,716.98 and 2,981.20

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Solution

The fourth proportional to 7,143.51, 10,716.98 and 2,981.20 is: 4,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.51 : 10,716.98 = 2,981.20 : x
  2. Step 2: Convert to fraction form
    7,143.51/10,716.98 = 2,981.20/x
  3. Step 3: Cross multiply
    7,143.51x = 10,716.98 × 2,981.20
  4. Step 4: Simplify right side
    7,143.51x = 31,949,445.87
  5. Step 5: Solve for x
    x = 31,949,445.87/7,143.51
  6. Step 6: Final answer
    x = 4,472.51

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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.