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Finding the Fourth Proportional to 6,779.84, 9,354.72 and 3,946.88

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Solution

The fourth proportional to 6,779.84, 9,354.72 and 3,946.88 is: 5,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.84 : 9,354.72 = 3,946.88 : x
  2. Step 2: Convert to fraction form
    6,779.84/9,354.72 = 3,946.88/x
  3. Step 3: Cross multiply
    6,779.84x = 9,354.72 × 3,946.88
  4. Step 4: Simplify right side
    6,779.84x = 36,921,957.27
  5. Step 5: Solve for x
    x = 36,921,957.27/6,779.84
  6. Step 6: Final answer
    x = 5,445.84

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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.