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Finding the Fourth Proportional to 21,424.40, 29,563 and 11,990.64

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Solution

The fourth proportional to 21,424.40, 29,563 and 11,990.64 is: 16,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.40 : 29,563 = 11,990.64 : x
  2. Step 2: Convert to fraction form
    21,424.40/29,563 = 11,990.64/x
  3. Step 3: Cross multiply
    21,424.40x = 29,563 × 11,990.64
  4. Step 4: Simplify right side
    21,424.40x = 354,479,290.32
  5. Step 5: Solve for x
    x = 354,479,290.32/21,424.40
  6. Step 6: Final answer
    x = 16,545.59

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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.