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Finding the Fourth Proportional to 11,412.99, 15,770.04 and 8,783.12

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Solution

The fourth proportional to 11,412.99, 15,770.04 and 8,783.12 is: 12,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.99 : 15,770.04 = 8,783.12 : x
  2. Step 2: Convert to fraction form
    11,412.99/15,770.04 = 8,783.12/x
  3. Step 3: Cross multiply
    11,412.99x = 15,770.04 × 8,783.12
  4. Step 4: Simplify right side
    11,412.99x = 138,510,074.87
  5. Step 5: Solve for x
    x = 138,510,074.87/11,412.99
  6. Step 6: Final answer
    x = 12,136.18

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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.