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Finding the Fourth Proportional to 10,402.78, 15,608.06 and 5,402.03

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Solution

The fourth proportional to 10,402.78, 15,608.06 and 5,402.03 is: 8,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.78 : 15,608.06 = 5,402.03 : x
  2. Step 2: Convert to fraction form
    10,402.78/15,608.06 = 5,402.03/x
  3. Step 3: Cross multiply
    10,402.78x = 15,608.06 × 5,402.03
  4. Step 4: Simplify right side
    10,402.78x = 84,315,208.36
  5. Step 5: Solve for x
    x = 84,315,208.36/10,402.78
  6. Step 6: Final answer
    x = 8,105.07

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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.