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Finding the Fourth Proportional to 7,163.16, 9,871.82 and 6,447.53

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Solution

The fourth proportional to 7,163.16, 9,871.82 and 6,447.53 is: 8,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.16 : 9,871.82 = 6,447.53 : x
  2. Step 2: Convert to fraction form
    7,163.16/9,871.82 = 6,447.53/x
  3. Step 3: Cross multiply
    7,163.16x = 9,871.82 × 6,447.53
  4. Step 4: Simplify right side
    7,163.16x = 63,648,774.01
  5. Step 5: Solve for x
    x = 63,648,774.01/7,163.16
  6. Step 6: Final answer
    x = 8,885.57

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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.