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Finding the Fourth Proportional to 15,102.76, 20,842.26 and 9,135.52

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Solution

The fourth proportional to 15,102.76, 20,842.26 and 9,135.52 is: 12,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.76 : 20,842.26 = 9,135.52 : x
  2. Step 2: Convert to fraction form
    15,102.76/20,842.26 = 9,135.52/x
  3. Step 3: Cross multiply
    15,102.76x = 20,842.26 × 9,135.52
  4. Step 4: Simplify right side
    15,102.76x = 190,404,883.08
  5. Step 5: Solve for x
    x = 190,404,883.08/15,102.76
  6. Step 6: Final answer
    x = 12,607.29

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1.5x scale

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.