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Finding the Fourth Proportional to 4,977.70, 7,459.90 and 1,854.56

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Solution

The fourth proportional to 4,977.70, 7,459.90 and 1,854.56 is: 2,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.70 : 7,459.90 = 1,854.56 : x
  2. Step 2: Convert to fraction form
    4,977.70/7,459.90 = 1,854.56/x
  3. Step 3: Cross multiply
    4,977.70x = 7,459.90 × 1,854.56
  4. Step 4: Simplify right side
    4,977.70x = 13,834,826.42
  5. Step 5: Solve for x
    x = 13,834,826.42/4,977.70
  6. Step 6: Final answer
    x = 2,779.36

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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.