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Finding the Fourth Proportional to 7,153.44, 9,871.50 and 4,169.40

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Solution

The fourth proportional to 7,153.44, 9,871.50 and 4,169.40 is: 5,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.44 : 9,871.50 = 4,169.40 : x
  2. Step 2: Convert to fraction form
    7,153.44/9,871.50 = 4,169.40/x
  3. Step 3: Cross multiply
    7,153.44x = 9,871.50 × 4,169.40
  4. Step 4: Simplify right side
    7,153.44x = 41,158,232.10
  5. Step 5: Solve for x
    x = 41,158,232.10/7,153.44
  6. Step 6: Final answer
    x = 5,753.63

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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.