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Finding the Fourth Proportional to 15,113.61, 20,859.36 and 9,734.52

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Solution

The fourth proportional to 15,113.61, 20,859.36 and 9,734.52 is: 13,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113.61 : 20,859.36 = 9,734.52 : x
  2. Step 2: Convert to fraction form
    15,113.61/20,859.36 = 9,734.52/x
  3. Step 3: Cross multiply
    15,113.61x = 20,859.36 × 9,734.52
  4. Step 4: Simplify right side
    15,113.61x = 203,055,857.11
  5. Step 5: Solve for x
    x = 203,055,857.11/15,113.61
  6. Step 6: Final answer
    x = 13,435.30

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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.