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Finding the Fourth Proportional to 20,470.71, 30,494.80 and 19,851.21

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Solution

The fourth proportional to 20,470.71, 30,494.80 and 19,851.21 is: 29,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.71 : 30,494.80 = 19,851.21 : x
  2. Step 2: Convert to fraction form
    20,470.71/30,494.80 = 19,851.21/x
  3. Step 3: Cross multiply
    20,470.71x = 30,494.80 × 19,851.21
  4. Step 4: Simplify right side
    20,470.71x = 605,358,678.71
  5. Step 5: Solve for x
    x = 605,358,678.71/20,470.71
  6. Step 6: Final answer
    x = 29,571.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.