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Finding the Fourth Proportional to 4,977.86, 7,467.95 and 1,857.88

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Solution

The fourth proportional to 4,977.86, 7,467.95 and 1,857.88 is: 2,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.86 : 7,467.95 = 1,857.88 : x
  2. Step 2: Convert to fraction form
    4,977.86/7,467.95 = 1,857.88/x
  3. Step 3: Cross multiply
    4,977.86x = 7,467.95 × 1,857.88
  4. Step 4: Simplify right side
    4,977.86x = 13,874,554.95
  5. Step 5: Solve for x
    x = 13,874,554.95/4,977.86
  6. Step 6: Final answer
    x = 2,787.25

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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.