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Finding the Fourth Proportional to 26,615.78, 39,902 and 9,966.48

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Solution

The fourth proportional to 26,615.78, 39,902 and 9,966.48 is: 14,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,615.78 : 39,902 = 9,966.48 : x
  2. Step 2: Convert to fraction form
    26,615.78/39,902 = 9,966.48/x
  3. Step 3: Cross multiply
    26,615.78x = 39,902 × 9,966.48
  4. Step 4: Simplify right side
    26,615.78x = 397,682,484.96
  5. Step 5: Solve for x
    x = 397,682,484.96/26,615.78
  6. Step 6: Final answer
    x = 14,941.61

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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.