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Finding the Fourth Proportional to 6,788.57, 9,368.21 and 4,135.98

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Solution

The fourth proportional to 6,788.57, 9,368.21 and 4,135.98 is: 5,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.57 : 9,368.21 = 4,135.98 : x
  2. Step 2: Convert to fraction form
    6,788.57/9,368.21 = 4,135.98/x
  3. Step 3: Cross multiply
    6,788.57x = 9,368.21 × 4,135.98
  4. Step 4: Simplify right side
    6,788.57x = 38,746,739.54
  5. Step 5: Solve for x
    x = 38,746,739.54/6,788.57
  6. Step 6: Final answer
    x = 5,707.65

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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.