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Finding the Fourth Proportional to 5,779.60, 7,977.08 and 3,653.78

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Solution

The fourth proportional to 5,779.60, 7,977.08 and 3,653.78 is: 5,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.60 : 7,977.08 = 3,653.78 : x
  2. Step 2: Convert to fraction form
    5,779.60/7,977.08 = 3,653.78/x
  3. Step 3: Cross multiply
    5,779.60x = 7,977.08 × 3,653.78
  4. Step 4: Simplify right side
    5,779.60x = 29,146,495.36
  5. Step 5: Solve for x
    x = 29,146,495.36/5,779.60
  6. Step 6: Final answer
    x = 5,043.00

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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.