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Finding the Fourth Proportional to 2,977.70, 4,107.71 and 1,859.49

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Solution

The fourth proportional to 2,977.70, 4,107.71 and 1,859.49 is: 2,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.70 : 4,107.71 = 1,859.49 : x
  2. Step 2: Convert to fraction form
    2,977.70/4,107.71 = 1,859.49/x
  3. Step 3: Cross multiply
    2,977.70x = 4,107.71 × 1,859.49
  4. Step 4: Simplify right side
    2,977.70x = 7,638,250.32
  5. Step 5: Solve for x
    x = 7,638,250.32/2,977.70
  6. Step 6: Final answer
    x = 2,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.