Home / 7,827.68-11,742.65-2,280.29

Finding the Fourth Proportional to 7,827.68, 11,742.65 and 2,280.29

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Solution

The fourth proportional to 7,827.68, 11,742.65 and 2,280.29 is: 3,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.68 : 11,742.65 = 2,280.29 : x
  2. Step 2: Convert to fraction form
    7,827.68/11,742.65 = 2,280.29/x
  3. Step 3: Cross multiply
    7,827.68x = 11,742.65 × 2,280.29
  4. Step 4: Simplify right side
    7,827.68x = 26,776,647.37
  5. Step 5: Solve for x
    x = 26,776,647.37/7,827.68
  6. Step 6: Final answer
    x = 3,420.76

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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.