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Finding the Fourth Proportional to 6,577.56, 9,071.03 and 5,142.12

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Solution

The fourth proportional to 6,577.56, 9,071.03 and 5,142.12 is: 7,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.56 : 9,071.03 = 5,142.12 : x
  2. Step 2: Convert to fraction form
    6,577.56/9,071.03 = 5,142.12/x
  3. Step 3: Cross multiply
    6,577.56x = 9,071.03 × 5,142.12
  4. Step 4: Simplify right side
    6,577.56x = 46,644,299.07
  5. Step 5: Solve for x
    x = 46,644,299.07/6,577.56
  6. Step 6: Final answer
    x = 7,091.43

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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.