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Finding the Fourth Proportional to 21,361.77, 32,054.15 and 8,890.40

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Solution

The fourth proportional to 21,361.77, 32,054.15 and 8,890.40 is: 13,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.77 : 32,054.15 = 8,890.40 : x
  2. Step 2: Convert to fraction form
    21,361.77/32,054.15 = 8,890.40/x
  3. Step 3: Cross multiply
    21,361.77x = 32,054.15 × 8,890.40
  4. Step 4: Simplify right side
    21,361.77x = 284,974,215.16
  5. Step 5: Solve for x
    x = 284,974,215.16/21,361.77
  6. Step 6: Final answer
    x = 13,340.38

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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.