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Finding the Fourth Proportional to 10,487.95, 15,731.96 and 7,191.05

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Solution

The fourth proportional to 10,487.95, 15,731.96 and 7,191.05 is: 10,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.95 : 15,731.96 = 7,191.05 : x
  2. Step 2: Convert to fraction form
    10,487.95/15,731.96 = 7,191.05/x
  3. Step 3: Cross multiply
    10,487.95x = 15,731.96 × 7,191.05
  4. Step 4: Simplify right side
    10,487.95x = 113,129,196.34
  5. Step 5: Solve for x
    x = 113,129,196.34/10,487.95
  6. Step 6: Final answer
    x = 10,786.59

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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.