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Finding the Fourth Proportional to 20,275.14, 27,978.02 and 11,774.56

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Solution

The fourth proportional to 20,275.14, 27,978.02 and 11,774.56 is: 16,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.14 : 27,978.02 = 11,774.56 : x
  2. Step 2: Convert to fraction form
    20,275.14/27,978.02 = 11,774.56/x
  3. Step 3: Cross multiply
    20,275.14x = 27,978.02 × 11,774.56
  4. Step 4: Simplify right side
    20,275.14x = 329,428,875.17
  5. Step 5: Solve for x
    x = 329,428,875.17/20,275.14
  6. Step 6: Final answer
    x = 16,247.92

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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.