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Finding the Fourth Proportional to 6,873.60, 9,491.87 and 6,505.32

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Solution

The fourth proportional to 6,873.60, 9,491.87 and 6,505.32 is: 8,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.60 : 9,491.87 = 6,505.32 : x
  2. Step 2: Convert to fraction form
    6,873.60/9,491.87 = 6,505.32/x
  3. Step 3: Cross multiply
    6,873.60x = 9,491.87 × 6,505.32
  4. Step 4: Simplify right side
    6,873.60x = 61,747,651.75
  5. Step 5: Solve for x
    x = 61,747,651.75/6,873.60
  6. Step 6: Final answer
    x = 8,983.31

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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.