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Finding the Fourth Proportional to 21,346, 32,022.66 and 8,017.84

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Solution

The fourth proportional to 21,346, 32,022.66 and 8,017.84 is: 12,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346 : 32,022.66 = 8,017.84 : x
  2. Step 2: Convert to fraction form
    21,346/32,022.66 = 8,017.84/x
  3. Step 3: Cross multiply
    21,346x = 32,022.66 × 8,017.84
  4. Step 4: Simplify right side
    21,346x = 256,752,564.25
  5. Step 5: Solve for x
    x = 256,752,564.25/21,346
  6. Step 6: Final answer
    x = 12,028.13

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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.