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Finding the Fourth Proportional to 2,779.77, 4,165.03 and 1,956.31

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Solution

The fourth proportional to 2,779.77, 4,165.03 and 1,956.31 is: 2,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.77 : 4,165.03 = 1,956.31 : x
  2. Step 2: Convert to fraction form
    2,779.77/4,165.03 = 1,956.31/x
  3. Step 3: Cross multiply
    2,779.77x = 4,165.03 × 1,956.31
  4. Step 4: Simplify right side
    2,779.77x = 8,148,089.84
  5. Step 5: Solve for x
    x = 8,148,089.84/2,779.77
  6. Step 6: Final answer
    x = 2,931.21

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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.