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Finding the Fourth Proportional to 2,959.12, 4,084 and 1,717.12

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Solution

The fourth proportional to 2,959.12, 4,084 and 1,717.12 is: 2,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.12 : 4,084 = 1,717.12 : x
  2. Step 2: Convert to fraction form
    2,959.12/4,084 = 1,717.12/x
  3. Step 3: Cross multiply
    2,959.12x = 4,084 × 1,717.12
  4. Step 4: Simplify right side
    2,959.12x = 7,012,718.08
  5. Step 5: Solve for x
    x = 7,012,718.08/2,959.12
  6. Step 6: Final answer
    x = 2,369.87

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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.