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Finding the Fourth Proportional to 21,153.61, 31,734.05 and 7,114.99

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Solution

The fourth proportional to 21,153.61, 31,734.05 and 7,114.99 is: 10,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.61 : 31,734.05 = 7,114.99 : x
  2. Step 2: Convert to fraction form
    21,153.61/31,734.05 = 7,114.99/x
  3. Step 3: Cross multiply
    21,153.61x = 31,734.05 × 7,114.99
  4. Step 4: Simplify right side
    21,153.61x = 225,787,453.03
  5. Step 5: Solve for x
    x = 225,787,453.03/21,153.61
  6. Step 6: Final answer
    x = 10,673.71

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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.