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Finding the Fourth Proportional to 6,419.88, 9,630.24 and 1,977

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Solution

The fourth proportional to 6,419.88, 9,630.24 and 1,977 is: 2,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.88 : 9,630.24 = 1,977 : x
  2. Step 2: Convert to fraction form
    6,419.88/9,630.24 = 1,977/x
  3. Step 3: Cross multiply
    6,419.88x = 9,630.24 × 1,977
  4. Step 4: Simplify right side
    6,419.88x = 19,038,984.48
  5. Step 5: Solve for x
    x = 19,038,984.48/6,419.88
  6. Step 6: Final answer
    x = 2,965.63

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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.