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Finding the Fourth Proportional to 6,284.57, 8,667.14 and 4,788.90

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Solution

The fourth proportional to 6,284.57, 8,667.14 and 4,788.90 is: 6,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.57 : 8,667.14 = 4,788.90 : x
  2. Step 2: Convert to fraction form
    6,284.57/8,667.14 = 4,788.90/x
  3. Step 3: Cross multiply
    6,284.57x = 8,667.14 × 4,788.90
  4. Step 4: Simplify right side
    6,284.57x = 41,506,042.80
  5. Step 5: Solve for x
    x = 41,506,042.80/6,284.57
  6. Step 6: Final answer
    x = 6,604.44

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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.