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Finding the Fourth Proportional to 15,199.84, 20,974.71 and 8,911

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Solution

The fourth proportional to 15,199.84, 20,974.71 and 8,911 is: 12,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.84 : 20,974.71 = 8,911 : x
  2. Step 2: Convert to fraction form
    15,199.84/20,974.71 = 8,911/x
  3. Step 3: Cross multiply
    15,199.84x = 20,974.71 × 8,911
  4. Step 4: Simplify right side
    15,199.84x = 186,905,640.81
  5. Step 5: Solve for x
    x = 186,905,640.81/15,199.84
  6. Step 6: Final answer
    x = 12,296.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.