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Finding the Fourth Proportional to 27,606.60, 41,420.70 and 10,078.20

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Solution

The fourth proportional to 27,606.60, 41,420.70 and 10,078.20 is: 15,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.60 : 41,420.70 = 10,078.20 : x
  2. Step 2: Convert to fraction form
    27,606.60/41,420.70 = 10,078.20/x
  3. Step 3: Cross multiply
    27,606.60x = 41,420.70 × 10,078.20
  4. Step 4: Simplify right side
    27,606.60x = 417,446,098.74
  5. Step 5: Solve for x
    x = 417,446,098.74/27,606.60
  6. Step 6: Final answer
    x = 15,121.24

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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.