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Finding the Fourth Proportional to 21,266, 31,888.36 and 12,384.24

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Solution

The fourth proportional to 21,266, 31,888.36 and 12,384.24 is: 18,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266 : 31,888.36 = 12,384.24 : x
  2. Step 2: Convert to fraction form
    21,266/31,888.36 = 12,384.24/x
  3. Step 3: Cross multiply
    21,266x = 31,888.36 × 12,384.24
  4. Step 4: Simplify right side
    21,266x = 394,913,103.45
  5. Step 5: Solve for x
    x = 394,913,103.45/21,266
  6. Step 6: Final answer
    x = 18,570.16

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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.