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Finding the Fourth Proportional to 6,486.63, 8,932.70 and 5,635.49

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Solution

The fourth proportional to 6,486.63, 8,932.70 and 5,635.49 is: 7,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.63 : 8,932.70 = 5,635.49 : x
  2. Step 2: Convert to fraction form
    6,486.63/8,932.70 = 5,635.49/x
  3. Step 3: Cross multiply
    6,486.63x = 8,932.70 × 5,635.49
  4. Step 4: Simplify right side
    6,486.63x = 50,340,129.50
  5. Step 5: Solve for x
    x = 50,340,129.50/6,486.63
  6. Step 6: Final answer
    x = 7,760.60

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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.