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Finding the Fourth Proportional to 6,078.10, 8,370.93 and 4,678.42

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Solution

The fourth proportional to 6,078.10, 8,370.93 and 4,678.42 is: 6,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.10 : 8,370.93 = 4,678.42 : x
  2. Step 2: Convert to fraction form
    6,078.10/8,370.93 = 4,678.42/x
  3. Step 3: Cross multiply
    6,078.10x = 8,370.93 × 4,678.42
  4. Step 4: Simplify right side
    6,078.10x = 39,162,726.33
  5. Step 5: Solve for x
    x = 39,162,726.33/6,078.10
  6. Step 6: Final answer
    x = 6,443.25

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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.