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Finding the Fourth Proportional to 21,891.84, 32,791.68 and 10,214.40

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Solution

The fourth proportional to 21,891.84, 32,791.68 and 10,214.40 is: 15,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.84 : 32,791.68 = 10,214.40 : x
  2. Step 2: Convert to fraction form
    21,891.84/32,791.68 = 10,214.40/x
  3. Step 3: Cross multiply
    21,891.84x = 32,791.68 × 10,214.40
  4. Step 4: Simplify right side
    21,891.84x = 334,947,336.19
  5. Step 5: Solve for x
    x = 334,947,336.19/21,891.84
  6. Step 6: Final answer
    x = 15,300.10

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1.5x scale

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.