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Finding the Fourth Proportional to 5,678.07, 7,837.88 and 4,197.90

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Solution

The fourth proportional to 5,678.07, 7,837.88 and 4,197.90 is: 5,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.07 : 7,837.88 = 4,197.90 : x
  2. Step 2: Convert to fraction form
    5,678.07/7,837.88 = 4,197.90/x
  3. Step 3: Cross multiply
    5,678.07x = 7,837.88 × 4,197.90
  4. Step 4: Simplify right side
    5,678.07x = 32,902,615.46
  5. Step 5: Solve for x
    x = 32,902,615.46/5,678.07
  6. Step 6: Final answer
    x = 5,794.68

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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.