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Finding the Fourth Proportional to 7,487.80, 11,218.20 and 3,583.60

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Solution

The fourth proportional to 7,487.80, 11,218.20 and 3,583.60 is: 5,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.80 : 11,218.20 = 3,583.60 : x
  2. Step 2: Convert to fraction form
    7,487.80/11,218.20 = 3,583.60/x
  3. Step 3: Cross multiply
    7,487.80x = 11,218.20 × 3,583.60
  4. Step 4: Simplify right side
    7,487.80x = 40,201,541.52
  5. Step 5: Solve for x
    x = 40,201,541.52/7,487.80
  6. Step 6: Final answer
    x = 5,368.94

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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.