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Finding the Fourth Proportional to 10,165.86, 15,254.01 and 7,699.86

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Solution

The fourth proportional to 10,165.86, 15,254.01 and 7,699.86 is: 11,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.86 : 15,254.01 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    10,165.86/15,254.01 = 7,699.86/x
  3. Step 3: Cross multiply
    10,165.86x = 15,254.01 × 7,699.86
  4. Step 4: Simplify right side
    10,165.86x = 117,453,741.44
  5. Step 5: Solve for x
    x = 117,453,741.44/10,165.86
  6. Step 6: Final answer
    x = 11,553.74

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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.