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Finding the Fourth Proportional to 5,213.64, 7,761.93 and 5,187.72

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Solution

The fourth proportional to 5,213.64, 7,761.93 and 5,187.72 is: 7,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.64 : 7,761.93 = 5,187.72 : x
  2. Step 2: Convert to fraction form
    5,213.64/7,761.93 = 5,187.72/x
  3. Step 3: Cross multiply
    5,213.64x = 7,761.93 × 5,187.72
  4. Step 4: Simplify right side
    5,213.64x = 40,266,719.50
  5. Step 5: Solve for x
    x = 40,266,719.50/5,213.64
  6. Step 6: Final answer
    x = 7,723.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.