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Finding the Fourth Proportional to 10,202.76, 15,279.84 and 7,085.88

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Solution

The fourth proportional to 10,202.76, 15,279.84 and 7,085.88 is: 10,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.76 : 15,279.84 = 7,085.88 : x
  2. Step 2: Convert to fraction form
    10,202.76/15,279.84 = 7,085.88/x
  3. Step 3: Cross multiply
    10,202.76x = 15,279.84 × 7,085.88
  4. Step 4: Simplify right side
    10,202.76x = 108,271,112.66
  5. Step 5: Solve for x
    x = 108,271,112.66/10,202.76
  6. Step 6: Final answer
    x = 10,611.94

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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.