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Finding the Fourth Proportional to 26,581.20, 39,878.48 and 9,051.20

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Solution

The fourth proportional to 26,581.20, 39,878.48 and 9,051.20 is: 13,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581.20 : 39,878.48 = 9,051.20 : x
  2. Step 2: Convert to fraction form
    26,581.20/39,878.48 = 9,051.20/x
  3. Step 3: Cross multiply
    26,581.20x = 39,878.48 × 9,051.20
  4. Step 4: Simplify right side
    26,581.20x = 360,948,098.18
  5. Step 5: Solve for x
    x = 360,948,098.18/26,581.20
  6. Step 6: Final answer
    x = 13,579.07

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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.