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Finding the Fourth Proportional to 7,168.89, 9,894.20 and 4,186.47

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Solution

The fourth proportional to 7,168.89, 9,894.20 and 4,186.47 is: 5,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.89 : 9,894.20 = 4,186.47 : x
  2. Step 2: Convert to fraction form
    7,168.89/9,894.20 = 4,186.47/x
  3. Step 3: Cross multiply
    7,168.89x = 9,894.20 × 4,186.47
  4. Step 4: Simplify right side
    7,168.89x = 41,421,750.54
  5. Step 5: Solve for x
    x = 41,421,750.54/7,168.89
  6. Step 6: Final answer
    x = 5,777.99

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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.