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Finding the Fourth Proportional to 27,931.80, 41,897.70 and 9,211.80

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Solution

The fourth proportional to 27,931.80, 41,897.70 and 9,211.80 is: 13,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.80 : 41,897.70 = 9,211.80 : x
  2. Step 2: Convert to fraction form
    27,931.80/41,897.70 = 9,211.80/x
  3. Step 3: Cross multiply
    27,931.80x = 41,897.70 × 9,211.80
  4. Step 4: Simplify right side
    27,931.80x = 385,953,232.86
  5. Step 5: Solve for x
    x = 385,953,232.86/27,931.80
  6. Step 6: Final answer
    x = 13,817.70

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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.