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Finding the Fourth Proportional to 6,136.70, 9,206.53 and 1,977.11

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Solution

The fourth proportional to 6,136.70, 9,206.53 and 1,977.11 is: 2,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.70 : 9,206.53 = 1,977.11 : x
  2. Step 2: Convert to fraction form
    6,136.70/9,206.53 = 1,977.11/x
  3. Step 3: Cross multiply
    6,136.70x = 9,206.53 × 1,977.11
  4. Step 4: Simplify right side
    6,136.70x = 18,202,271.55
  5. Step 5: Solve for x
    x = 18,202,271.55/6,136.70
  6. Step 6: Final answer
    x = 2,966.13

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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.