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Finding the Fourth Proportional to 2,573.52, 3,860.28 and 842.15

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Solution

The fourth proportional to 2,573.52, 3,860.28 and 842.15 is: 1,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.52 : 3,860.28 = 842.15 : x
  2. Step 2: Convert to fraction form
    2,573.52/3,860.28 = 842.15/x
  3. Step 3: Cross multiply
    2,573.52x = 3,860.28 × 842.15
  4. Step 4: Simplify right side
    2,573.52x = 3,250,915.50
  5. Step 5: Solve for x
    x = 3,250,915.50/2,573.52
  6. Step 6: Final answer
    x = 1,263.22

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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.