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Finding the Fourth Proportional to 5,880.34, 8,820.78 and 1,984.78

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Solution

The fourth proportional to 5,880.34, 8,820.78 and 1,984.78 is: 2,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.34 : 8,820.78 = 1,984.78 : x
  2. Step 2: Convert to fraction form
    5,880.34/8,820.78 = 1,984.78/x
  3. Step 3: Cross multiply
    5,880.34x = 8,820.78 × 1,984.78
  4. Step 4: Simplify right side
    5,880.34x = 17,507,307.73
  5. Step 5: Solve for x
    x = 17,507,307.73/5,880.34
  6. Step 6: Final answer
    x = 2,977.26

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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.