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Finding the Fourth Proportional to 19,700.76, 27,182.98 and 11,522.80

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Solution

The fourth proportional to 19,700.76, 27,182.98 and 11,522.80 is: 15,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.76 : 27,182.98 = 11,522.80 : x
  2. Step 2: Convert to fraction form
    19,700.76/27,182.98 = 11,522.80/x
  3. Step 3: Cross multiply
    19,700.76x = 27,182.98 × 11,522.80
  4. Step 4: Simplify right side
    19,700.76x = 313,223,945.18
  5. Step 5: Solve for x
    x = 313,223,945.18/19,700.76
  6. Step 6: Final answer
    x = 15,899.08

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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.