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Finding the Fourth Proportional to 20,357.78, 30,491.54 and 15,643.08

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Solution

The fourth proportional to 20,357.78, 30,491.54 and 15,643.08 is: 23,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.78 : 30,491.54 = 15,643.08 : x
  2. Step 2: Convert to fraction form
    20,357.78/30,491.54 = 15,643.08/x
  3. Step 3: Cross multiply
    20,357.78x = 30,491.54 × 15,643.08
  4. Step 4: Simplify right side
    20,357.78x = 476,981,521.33
  5. Step 5: Solve for x
    x = 476,981,521.33/20,357.78
  6. Step 6: Final answer
    x = 23,429.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.