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Finding the Fourth Proportional to 19,774.71, 27,288.63 and 10,822.20

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Solution

The fourth proportional to 19,774.71, 27,288.63 and 10,822.20 is: 14,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.71 : 27,288.63 = 10,822.20 : x
  2. Step 2: Convert to fraction form
    19,774.71/27,288.63 = 10,822.20/x
  3. Step 3: Cross multiply
    19,774.71x = 27,288.63 × 10,822.20
  4. Step 4: Simplify right side
    19,774.71x = 295,323,011.59
  5. Step 5: Solve for x
    x = 295,323,011.59/19,774.71
  6. Step 6: Final answer
    x = 14,934.38

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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.