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Finding the Fourth Proportional to 10,094.60, 15,142 and 3,520.80

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Solution

The fourth proportional to 10,094.60, 15,142 and 3,520.80 is: 5,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.60 : 15,142 = 3,520.80 : x
  2. Step 2: Convert to fraction form
    10,094.60/15,142 = 3,520.80/x
  3. Step 3: Cross multiply
    10,094.60x = 15,142 × 3,520.80
  4. Step 4: Simplify right side
    10,094.60x = 53,311,953.60
  5. Step 5: Solve for x
    x = 53,311,953.60/10,094.60
  6. Step 6: Final answer
    x = 5,281.23

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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.