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Finding the Fourth Proportional to 26,166, 36,109.62 and 14,988

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Solution

The fourth proportional to 26,166, 36,109.62 and 14,988 is: 20,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166 : 36,109.62 = 14,988 : x
  2. Step 2: Convert to fraction form
    26,166/36,109.62 = 14,988/x
  3. Step 3: Cross multiply
    26,166x = 36,109.62 × 14,988
  4. Step 4: Simplify right side
    26,166x = 541,210,984.56
  5. Step 5: Solve for x
    x = 541,210,984.56/26,166
  6. Step 6: Final answer
    x = 20,683.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.