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Finding the Fourth Proportional to 6,516.94, 9,788.50 and 3,889.57

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Solution

The fourth proportional to 6,516.94, 9,788.50 and 3,889.57 is: 5,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.94 : 9,788.50 = 3,889.57 : x
  2. Step 2: Convert to fraction form
    6,516.94/9,788.50 = 3,889.57/x
  3. Step 3: Cross multiply
    6,516.94x = 9,788.50 × 3,889.57
  4. Step 4: Simplify right side
    6,516.94x = 38,073,055.95
  5. Step 5: Solve for x
    x = 38,073,055.95/6,516.94
  6. Step 6: Final answer
    x = 5,842.17

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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.