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Finding the Fourth Proportional to 7,779.67, 10,744.90 and 5,664.65

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Solution

The fourth proportional to 7,779.67, 10,744.90 and 5,664.65 is: 7,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.67 : 10,744.90 = 5,664.65 : x
  2. Step 2: Convert to fraction form
    7,779.67/10,744.90 = 5,664.65/x
  3. Step 3: Cross multiply
    7,779.67x = 10,744.90 × 5,664.65
  4. Step 4: Simplify right side
    7,779.67x = 60,866,110.49
  5. Step 5: Solve for x
    x = 60,866,110.49/7,779.67
  6. Step 6: Final answer
    x = 7,823.74

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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.