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Finding the Fourth Proportional to 7,586.80, 11,382.90 and 7,316.80

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Solution

The fourth proportional to 7,586.80, 11,382.90 and 7,316.80 is: 10,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.80 : 11,382.90 = 7,316.80 : x
  2. Step 2: Convert to fraction form
    7,586.80/11,382.90 = 7,316.80/x
  3. Step 3: Cross multiply
    7,586.80x = 11,382.90 × 7,316.80
  4. Step 4: Simplify right side
    7,586.80x = 83,286,402.72
  5. Step 5: Solve for x
    x = 83,286,402.72/7,586.80
  6. Step 6: Final answer
    x = 10,977.80

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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.