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Finding the Fourth Proportional to 2,708.72, 4,063.53 and 953.65

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Solution

The fourth proportional to 2,708.72, 4,063.53 and 953.65 is: 1,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.72 : 4,063.53 = 953.65 : x
  2. Step 2: Convert to fraction form
    2,708.72/4,063.53 = 953.65/x
  3. Step 3: Cross multiply
    2,708.72x = 4,063.53 × 953.65
  4. Step 4: Simplify right side
    2,708.72x = 3,875,185.38
  5. Step 5: Solve for x
    x = 3,875,185.38/2,708.72
  6. Step 6: Final answer
    x = 1,430.63

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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.