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Finding the Fourth Proportional to 5,580.65, 8,365.14 and 1,881.60

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Solution

The fourth proportional to 5,580.65, 8,365.14 and 1,881.60 is: 2,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.65 : 8,365.14 = 1,881.60 : x
  2. Step 2: Convert to fraction form
    5,580.65/8,365.14 = 1,881.60/x
  3. Step 3: Cross multiply
    5,580.65x = 8,365.14 × 1,881.60
  4. Step 4: Simplify right side
    5,580.65x = 15,739,847.42
  5. Step 5: Solve for x
    x = 15,739,847.42/5,580.65
  6. Step 6: Final answer
    x = 2,820.43

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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.