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Finding the Fourth Proportional to 21,412.44, 32,073.84 and 13,582.44

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Solution

The fourth proportional to 21,412.44, 32,073.84 and 13,582.44 is: 20,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.44 : 32,073.84 = 13,582.44 : x
  2. Step 2: Convert to fraction form
    21,412.44/32,073.84 = 13,582.44/x
  3. Step 3: Cross multiply
    21,412.44x = 32,073.84 × 13,582.44
  4. Step 4: Simplify right side
    21,412.44x = 435,641,007.37
  5. Step 5: Solve for x
    x = 435,641,007.37/21,412.44
  6. Step 6: Final answer
    x = 20,345.23

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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.