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Finding the Fourth Proportional to 4,977.78, 7,461.46 and 1,856.53

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Solution

The fourth proportional to 4,977.78, 7,461.46 and 1,856.53 is: 2,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.78 : 7,461.46 = 1,856.53 : x
  2. Step 2: Convert to fraction form
    4,977.78/7,461.46 = 1,856.53/x
  3. Step 3: Cross multiply
    4,977.78x = 7,461.46 × 1,856.53
  4. Step 4: Simplify right side
    4,977.78x = 13,852,435.98
  5. Step 5: Solve for x
    x = 13,852,435.98/4,977.78
  6. Step 6: Final answer
    x = 2,782.85

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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.