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Finding the Fourth Proportional to 10,410.30, 15,600.78 and 7,810.20

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Solution

The fourth proportional to 10,410.30, 15,600.78 and 7,810.20 is: 11,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.30 : 15,600.78 = 7,810.20 : x
  2. Step 2: Convert to fraction form
    10,410.30/15,600.78 = 7,810.20/x
  3. Step 3: Cross multiply
    10,410.30x = 15,600.78 × 7,810.20
  4. Step 4: Simplify right side
    10,410.30x = 121,845,211.96
  5. Step 5: Solve for x
    x = 121,845,211.96/10,410.30
  6. Step 6: Final answer
    x = 11,704.29

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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.