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Finding the Fourth Proportional to 6,377.56, 9,566.34 and 5,911

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Solution

The fourth proportional to 6,377.56, 9,566.34 and 5,911 is: 8,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.56 : 9,566.34 = 5,911 : x
  2. Step 2: Convert to fraction form
    6,377.56/9,566.34 = 5,911/x
  3. Step 3: Cross multiply
    6,377.56x = 9,566.34 × 5,911
  4. Step 4: Simplify right side
    6,377.56x = 56,546,635.74
  5. Step 5: Solve for x
    x = 56,546,635.74/6,377.56
  6. Step 6: Final answer
    x = 8,866.50

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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.