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Finding the Fourth Proportional to 25,847.69, 38,779.32 and 9,205.55

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Solution

The fourth proportional to 25,847.69, 38,779.32 and 9,205.55 is: 13,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.69 : 38,779.32 = 9,205.55 : x
  2. Step 2: Convert to fraction form
    25,847.69/38,779.32 = 9,205.55/x
  3. Step 3: Cross multiply
    25,847.69x = 38,779.32 × 9,205.55
  4. Step 4: Simplify right side
    25,847.69x = 356,984,986.67
  5. Step 5: Solve for x
    x = 356,984,986.67/25,847.69
  6. Step 6: Final answer
    x = 13,811.10

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1.5x scale

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.