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Finding the Fourth Proportional to 21,776, 30,050.88 and 11,840

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Solution

The fourth proportional to 21,776, 30,050.88 and 11,840 is: 16,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776 : 30,050.88 = 11,840 : x
  2. Step 2: Convert to fraction form
    21,776/30,050.88 = 11,840/x
  3. Step 3: Cross multiply
    21,776x = 30,050.88 × 11,840
  4. Step 4: Simplify right side
    21,776x = 355,802,419.20
  5. Step 5: Solve for x
    x = 355,802,419.20/21,776
  6. Step 6: Final answer
    x = 16,339.20

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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.