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Finding the Fourth Proportional to 12,152.68, 16,770.78 and 7,119.88

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Solution

The fourth proportional to 12,152.68, 16,770.78 and 7,119.88 is: 9,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.68 : 16,770.78 = 7,119.88 : x
  2. Step 2: Convert to fraction form
    12,152.68/16,770.78 = 7,119.88/x
  3. Step 3: Cross multiply
    12,152.68x = 16,770.78 × 7,119.88
  4. Step 4: Simplify right side
    12,152.68x = 119,405,941.11
  5. Step 5: Solve for x
    x = 119,405,941.11/12,152.68
  6. Step 6: Final answer
    x = 9,825.48

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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.