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Finding the Fourth Proportional to 6,745.32, 10,129.86 and 6,473.16

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Solution

The fourth proportional to 6,745.32, 10,129.86 and 6,473.16 is: 9,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.32 : 10,129.86 = 6,473.16 : x
  2. Step 2: Convert to fraction form
    6,745.32/10,129.86 = 6,473.16/x
  3. Step 3: Cross multiply
    6,745.32x = 10,129.86 × 6,473.16
  4. Step 4: Simplify right side
    6,745.32x = 65,572,204.56
  5. Step 5: Solve for x
    x = 65,572,204.56/6,745.32
  6. Step 6: Final answer
    x = 9,721.14

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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.