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Finding the Fourth Proportional to 5,246.50, 7,871.10 and 1,959.62

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Solution

The fourth proportional to 5,246.50, 7,871.10 and 1,959.62 is: 2,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.50 : 7,871.10 = 1,959.62 : x
  2. Step 2: Convert to fraction form
    5,246.50/7,871.10 = 1,959.62/x
  3. Step 3: Cross multiply
    5,246.50x = 7,871.10 × 1,959.62
  4. Step 4: Simplify right side
    5,246.50x = 15,424,364.98
  5. Step 5: Solve for x
    x = 15,424,364.98/5,246.50
  6. Step 6: Final answer
    x = 2,939.93

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1.5x scale

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.