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Finding the Fourth Proportional to 26,486.80, 39,714 and 10,699.12

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Solution

The fourth proportional to 26,486.80, 39,714 and 10,699.12 is: 16,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.80 : 39,714 = 10,699.12 : x
  2. Step 2: Convert to fraction form
    26,486.80/39,714 = 10,699.12/x
  3. Step 3: Cross multiply
    26,486.80x = 39,714 × 10,699.12
  4. Step 4: Simplify right side
    26,486.80x = 424,904,851.68
  5. Step 5: Solve for x
    x = 424,904,851.68/26,486.80
  6. Step 6: Final answer
    x = 16,042.14

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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.