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Finding the Fourth Proportional to 2,830.29, 4,244.77 and 956.45

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Solution

The fourth proportional to 2,830.29, 4,244.77 and 956.45 is: 1,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.29 : 4,244.77 = 956.45 : x
  2. Step 2: Convert to fraction form
    2,830.29/4,244.77 = 956.45/x
  3. Step 3: Cross multiply
    2,830.29x = 4,244.77 × 956.45
  4. Step 4: Simplify right side
    2,830.29x = 4,059,922.07
  5. Step 5: Solve for x
    x = 4,059,922.07/2,830.29
  6. Step 6: Final answer
    x = 1,434.46

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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.