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Finding the Fourth Proportional to 21,787.63, 32,686.88 and 6,205.25

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Solution

The fourth proportional to 21,787.63, 32,686.88 and 6,205.25 is: 9,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.63 : 32,686.88 = 6,205.25 : x
  2. Step 2: Convert to fraction form
    21,787.63/32,686.88 = 6,205.25/x
  3. Step 3: Cross multiply
    21,787.63x = 32,686.88 × 6,205.25
  4. Step 4: Simplify right side
    21,787.63x = 202,830,312.81
  5. Step 5: Solve for x
    x = 202,830,312.81/21,787.63
  6. Step 6: Final answer
    x = 9,309.43

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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.