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Finding the Fourth Proportional to 2,052.50, 3,078.72 and 956.25

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Solution

The fourth proportional to 2,052.50, 3,078.72 and 956.25 is: 1,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.50 : 3,078.72 = 956.25 : x
  2. Step 2: Convert to fraction form
    2,052.50/3,078.72 = 956.25/x
  3. Step 3: Cross multiply
    2,052.50x = 3,078.72 × 956.25
  4. Step 4: Simplify right side
    2,052.50x = 2,944,026
  5. Step 5: Solve for x
    x = 2,944,026/2,052.50
  6. Step 6: Final answer
    x = 1,434.36

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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.