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Finding the Fourth Proportional to 5,779.48, 7,977.72 and 3,423.64

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Solution

The fourth proportional to 5,779.48, 7,977.72 and 3,423.64 is: 4,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.48 : 7,977.72 = 3,423.64 : x
  2. Step 2: Convert to fraction form
    5,779.48/7,977.72 = 3,423.64/x
  3. Step 3: Cross multiply
    5,779.48x = 7,977.72 × 3,423.64
  4. Step 4: Simplify right side
    5,779.48x = 27,312,841.30
  5. Step 5: Solve for x
    x = 27,312,841.30/5,779.48
  6. Step 6: Final answer
    x = 4,725.83

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1.5x scale

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.