Home / 7,827.85-11,742.93-2,280.48

Finding the Fourth Proportional to 7,827.85, 11,742.93 and 2,280.48

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Solution

The fourth proportional to 7,827.85, 11,742.93 and 2,280.48 is: 3,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.85 : 11,742.93 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    7,827.85/11,742.93 = 2,280.48/x
  3. Step 3: Cross multiply
    7,827.85x = 11,742.93 × 2,280.48
  4. Step 4: Simplify right side
    7,827.85x = 26,779,517.01
  5. Step 5: Solve for x
    x = 26,779,517.01/7,827.85
  6. Step 6: Final answer
    x = 3,421.06

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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.