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Finding the Fourth Proportional to 12,174.68, 18,254.97 and 4,770.47

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Solution

The fourth proportional to 12,174.68, 18,254.97 and 4,770.47 is: 7,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.68 : 18,254.97 = 4,770.47 : x
  2. Step 2: Convert to fraction form
    12,174.68/18,254.97 = 4,770.47/x
  3. Step 3: Cross multiply
    12,174.68x = 18,254.97 × 4,770.47
  4. Step 4: Simplify right side
    12,174.68x = 87,084,695.46
  5. Step 5: Solve for x
    x = 87,084,695.46/12,174.68
  6. Step 6: Final answer
    x = 7,152.94

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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.