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Finding the Fourth Proportional to 7,158.81, 10,738.95 and 2,478.81

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Solution

The fourth proportional to 7,158.81, 10,738.95 and 2,478.81 is: 3,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.81 : 10,738.95 = 2,478.81 : x
  2. Step 2: Convert to fraction form
    7,158.81/10,738.95 = 2,478.81/x
  3. Step 3: Cross multiply
    7,158.81x = 10,738.95 × 2,478.81
  4. Step 4: Simplify right side
    7,158.81x = 26,619,816.65
  5. Step 5: Solve for x
    x = 26,619,816.65/7,158.81
  6. Step 6: Final answer
    x = 3,718.47

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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.