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Finding the Fourth Proportional to 27,930.71, 41,897.07 and 9,211.20

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Solution

The fourth proportional to 27,930.71, 41,897.07 and 9,211.20 is: 13,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.71 : 41,897.07 = 9,211.20 : x
  2. Step 2: Convert to fraction form
    27,930.71/41,897.07 = 9,211.20/x
  3. Step 3: Cross multiply
    27,930.71x = 41,897.07 × 9,211.20
  4. Step 4: Simplify right side
    27,930.71x = 385,922,291.18
  5. Step 5: Solve for x
    x = 385,922,291.18/27,930.71
  6. Step 6: Final answer
    x = 13,817.13

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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.