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Finding the Fourth Proportional to 7,127.65, 9,836.20 and 4,143.54

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Solution

The fourth proportional to 7,127.65, 9,836.20 and 4,143.54 is: 5,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.65 : 9,836.20 = 4,143.54 : x
  2. Step 2: Convert to fraction form
    7,127.65/9,836.20 = 4,143.54/x
  3. Step 3: Cross multiply
    7,127.65x = 9,836.20 × 4,143.54
  4. Step 4: Simplify right side
    7,127.65x = 40,756,688.15
  5. Step 5: Solve for x
    x = 40,756,688.15/7,127.65
  6. Step 6: Final answer
    x = 5,718.11

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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.