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Finding the Fourth Proportional to 7,136.80, 10,705.20 and 1,871.80

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Solution

The fourth proportional to 7,136.80, 10,705.20 and 1,871.80 is: 2,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.80 : 10,705.20 = 1,871.80 : x
  2. Step 2: Convert to fraction form
    7,136.80/10,705.20 = 1,871.80/x
  3. Step 3: Cross multiply
    7,136.80x = 10,705.20 × 1,871.80
  4. Step 4: Simplify right side
    7,136.80x = 20,037,993.36
  5. Step 5: Solve for x
    x = 20,037,993.36/7,136.80
  6. Step 6: Final answer
    x = 2,807.70

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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.