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Finding the Fourth Proportional to 10,275.52, 15,420 and 4,120

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Solution

The fourth proportional to 10,275.52, 15,420 and 4,120 is: 6,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.52 : 15,420 = 4,120 : x
  2. Step 2: Convert to fraction form
    10,275.52/15,420 = 4,120/x
  3. Step 3: Cross multiply
    10,275.52x = 15,420 × 4,120
  4. Step 4: Simplify right side
    10,275.52x = 63,530,400
  5. Step 5: Solve for x
    x = 63,530,400/10,275.52
  6. Step 6: Final answer
    x = 6,182.69

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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.