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Finding the Fourth Proportional to 2,948.50, 4,422.93 and 896.50

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Solution

The fourth proportional to 2,948.50, 4,422.93 and 896.50 is: 1,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.50 : 4,422.93 = 896.50 : x
  2. Step 2: Convert to fraction form
    2,948.50/4,422.93 = 896.50/x
  3. Step 3: Cross multiply
    2,948.50x = 4,422.93 × 896.50
  4. Step 4: Simplify right side
    2,948.50x = 3,965,156.75
  5. Step 5: Solve for x
    x = 3,965,156.75/2,948.50
  6. Step 6: Final answer
    x = 1,344.80

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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.