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Finding the Fourth Proportional to 19,937.70, 27,512.77 and 10,984.71

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Solution

The fourth proportional to 19,937.70, 27,512.77 and 10,984.71 is: 15,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.70 : 27,512.77 = 10,984.71 : x
  2. Step 2: Convert to fraction form
    19,937.70/27,512.77 = 10,984.71/x
  3. Step 3: Cross multiply
    19,937.70x = 27,512.77 × 10,984.71
  4. Step 4: Simplify right side
    19,937.70x = 302,219,799.75
  5. Step 5: Solve for x
    x = 302,219,799.75/19,937.70
  6. Step 6: Final answer
    x = 15,158.21

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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.