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Finding the Fourth Proportional to 7,145.76, 10,718.10 and 1,952.04

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Solution

The fourth proportional to 7,145.76, 10,718.10 and 1,952.04 is: 2,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.76 : 10,718.10 = 1,952.04 : x
  2. Step 2: Convert to fraction form
    7,145.76/10,718.10 = 1,952.04/x
  3. Step 3: Cross multiply
    7,145.76x = 10,718.10 × 1,952.04
  4. Step 4: Simplify right side
    7,145.76x = 20,922,159.92
  5. Step 5: Solve for x
    x = 20,922,159.92/7,145.76
  6. Step 6: Final answer
    x = 2,927.91

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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.