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Finding the Fourth Proportional to 27,930.65, 41,887.08 and 9,207.20

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Solution

The fourth proportional to 27,930.65, 41,887.08 and 9,207.20 is: 13,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.65 : 41,887.08 = 9,207.20 : x
  2. Step 2: Convert to fraction form
    27,930.65/41,887.08 = 9,207.20/x
  3. Step 3: Cross multiply
    27,930.65x = 41,887.08 × 9,207.20
  4. Step 4: Simplify right side
    27,930.65x = 385,662,699.96
  5. Step 5: Solve for x
    x = 385,662,699.96/27,930.65
  6. Step 6: Final answer
    x = 13,807.87

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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.