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Finding the Fourth Proportional to 2,959.50, 4,084.65 and 1,717.50

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Solution

The fourth proportional to 2,959.50, 4,084.65 and 1,717.50 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.50 : 4,084.65 = 1,717.50 : x
  2. Step 2: Convert to fraction form
    2,959.50/4,084.65 = 1,717.50/x
  3. Step 3: Cross multiply
    2,959.50x = 4,084.65 × 1,717.50
  4. Step 4: Simplify right side
    2,959.50x = 7,015,386.38
  5. Step 5: Solve for x
    x = 7,015,386.38/2,959.50
  6. Step 6: Final answer
    x = 2,370.46

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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.