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Finding the Fourth Proportional to 12,869.56, 17,760.09 and 7,280.56

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Solution

The fourth proportional to 12,869.56, 17,760.09 and 7,280.56 is: 10,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.56 : 17,760.09 = 7,280.56 : x
  2. Step 2: Convert to fraction form
    12,869.56/17,760.09 = 7,280.56/x
  3. Step 3: Cross multiply
    12,869.56x = 17,760.09 × 7,280.56
  4. Step 4: Simplify right side
    12,869.56x = 129,303,400.85
  5. Step 5: Solve for x
    x = 129,303,400.85/12,869.56
  6. Step 6: Final answer
    x = 10,047.23

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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.