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Finding the Fourth Proportional to 21,868.84, 32,808.14 and 6,285.28

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Solution

The fourth proportional to 21,868.84, 32,808.14 and 6,285.28 is: 9,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.84 : 32,808.14 = 6,285.28 : x
  2. Step 2: Convert to fraction form
    21,868.84/32,808.14 = 6,285.28/x
  3. Step 3: Cross multiply
    21,868.84x = 32,808.14 × 6,285.28
  4. Step 4: Simplify right side
    21,868.84x = 206,208,346.18
  5. Step 5: Solve for x
    x = 206,208,346.18/21,868.84
  6. Step 6: Final answer
    x = 9,429.32

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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.