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Finding the Fourth Proportional to 4,788.90, 7,167.15 and 4,205.70

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Solution

The fourth proportional to 4,788.90, 7,167.15 and 4,205.70 is: 6,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.90 : 7,167.15 = 4,205.70 : x
  2. Step 2: Convert to fraction form
    4,788.90/7,167.15 = 4,205.70/x
  3. Step 3: Cross multiply
    4,788.90x = 7,167.15 × 4,205.70
  4. Step 4: Simplify right side
    4,788.90x = 30,142,882.76
  5. Step 5: Solve for x
    x = 30,142,882.76/4,788.90
  6. Step 6: Final answer
    x = 6,294.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.