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Finding the Fourth Proportional to 14,487.85, 21,731.78 and 7,097.05

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Solution

The fourth proportional to 14,487.85, 21,731.78 and 7,097.05 is: 10,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.85 : 21,731.78 = 7,097.05 : x
  2. Step 2: Convert to fraction form
    14,487.85/21,731.78 = 7,097.05/x
  3. Step 3: Cross multiply
    14,487.85x = 21,731.78 × 7,097.05
  4. Step 4: Simplify right side
    14,487.85x = 154,231,493.76
  5. Step 5: Solve for x
    x = 154,231,493.76/14,487.85
  6. Step 6: Final answer
    x = 10,645.58

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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.