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Finding the Fourth Proportional to 6,384.58, 9,575.79 and 1,766.50

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Solution

The fourth proportional to 6,384.58, 9,575.79 and 1,766.50 is: 2,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.58 : 9,575.79 = 1,766.50 : x
  2. Step 2: Convert to fraction form
    6,384.58/9,575.79 = 1,766.50/x
  3. Step 3: Cross multiply
    6,384.58x = 9,575.79 × 1,766.50
  4. Step 4: Simplify right side
    6,384.58x = 16,915,633.04
  5. Step 5: Solve for x
    x = 16,915,633.04/6,384.58
  6. Step 6: Final answer
    x = 2,649.45

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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.