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Finding the Fourth Proportional to 10,383.50, 15,572.04 and 3,810.20

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Solution

The fourth proportional to 10,383.50, 15,572.04 and 3,810.20 is: 5,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.50 : 15,572.04 = 3,810.20 : x
  2. Step 2: Convert to fraction form
    10,383.50/15,572.04 = 3,810.20/x
  3. Step 3: Cross multiply
    10,383.50x = 15,572.04 × 3,810.20
  4. Step 4: Simplify right side
    10,383.50x = 59,332,586.81
  5. Step 5: Solve for x
    x = 59,332,586.81/10,383.50
  6. Step 6: Final answer
    x = 5,714.12

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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.