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Finding the Fourth Proportional to 5,678.39, 7,834.01 and 4,189.86

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Solution

The fourth proportional to 5,678.39, 7,834.01 and 4,189.86 is: 5,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.39 : 7,834.01 = 4,189.86 : x
  2. Step 2: Convert to fraction form
    5,678.39/7,834.01 = 4,189.86/x
  3. Step 3: Cross multiply
    5,678.39x = 7,834.01 × 4,189.86
  4. Step 4: Simplify right side
    5,678.39x = 32,823,384.19
  5. Step 5: Solve for x
    x = 32,823,384.19/5,678.39
  6. Step 6: Final answer
    x = 5,780.40

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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.