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Finding the Fourth Proportional to 2,978.45, 4,463.40 and 1,677.17

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Solution

The fourth proportional to 2,978.45, 4,463.40 and 1,677.17 is: 2,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.45 : 4,463.40 = 1,677.17 : x
  2. Step 2: Convert to fraction form
    2,978.45/4,463.40 = 1,677.17/x
  3. Step 3: Cross multiply
    2,978.45x = 4,463.40 × 1,677.17
  4. Step 4: Simplify right side
    2,978.45x = 7,485,880.58
  5. Step 5: Solve for x
    x = 7,485,880.58/2,978.45
  6. Step 6: Final answer
    x = 2,513.35

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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.