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Finding the Fourth Proportional to 6,281.65, 8,665.05 and 5,213.31

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Solution

The fourth proportional to 6,281.65, 8,665.05 and 5,213.31 is: 7,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.65 : 8,665.05 = 5,213.31 : x
  2. Step 2: Convert to fraction form
    6,281.65/8,665.05 = 5,213.31/x
  3. Step 3: Cross multiply
    6,281.65x = 8,665.05 × 5,213.31
  4. Step 4: Simplify right side
    6,281.65x = 45,173,591.82
  5. Step 5: Solve for x
    x = 45,173,591.82/6,281.65
  6. Step 6: Final answer
    x = 7,191.36

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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.