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Finding the Fourth Proportional to 21,543.84, 29,730.99 and 11,984.11

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Solution

The fourth proportional to 21,543.84, 29,730.99 and 11,984.11 is: 16,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.84 : 29,730.99 = 11,984.11 : x
  2. Step 2: Convert to fraction form
    21,543.84/29,730.99 = 11,984.11/x
  3. Step 3: Cross multiply
    21,543.84x = 29,730.99 × 11,984.11
  4. Step 4: Simplify right side
    21,543.84x = 356,299,454.57
  5. Step 5: Solve for x
    x = 356,299,454.57/21,543.84
  6. Step 6: Final answer
    x = 16,538.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.