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Finding the Fourth Proportional to 7,171.88, 10,739.45 and 6,506.06

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Solution

The fourth proportional to 7,171.88, 10,739.45 and 6,506.06 is: 9,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.88 : 10,739.45 = 6,506.06 : x
  2. Step 2: Convert to fraction form
    7,171.88/10,739.45 = 6,506.06/x
  3. Step 3: Cross multiply
    7,171.88x = 10,739.45 × 6,506.06
  4. Step 4: Simplify right side
    7,171.88x = 69,871,468.63
  5. Step 5: Solve for x
    x = 69,871,468.63/7,171.88
  6. Step 6: Final answer
    x = 9,742.43

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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.