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Finding the Fourth Proportional to 27,083.20, 40,624.80 and 15,419.20

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Solution

The fourth proportional to 27,083.20, 40,624.80 and 15,419.20 is: 23,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.20 : 40,624.80 = 15,419.20 : x
  2. Step 2: Convert to fraction form
    27,083.20/40,624.80 = 15,419.20/x
  3. Step 3: Cross multiply
    27,083.20x = 40,624.80 × 15,419.20
  4. Step 4: Simplify right side
    27,083.20x = 626,401,916.16
  5. Step 5: Solve for x
    x = 626,401,916.16/27,083.20
  6. Step 6: Final answer
    x = 23,128.80

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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.