Home / 7,827.56-11,742.87-2,897.24

Finding the Fourth Proportional to 7,827.56, 11,742.87 and 2,897.24

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Solution

The fourth proportional to 7,827.56, 11,742.87 and 2,897.24 is: 4,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.56 : 11,742.87 = 2,897.24 : x
  2. Step 2: Convert to fraction form
    7,827.56/11,742.87 = 2,897.24/x
  3. Step 3: Cross multiply
    7,827.56x = 11,742.87 × 2,897.24
  4. Step 4: Simplify right side
    7,827.56x = 34,021,853.96
  5. Step 5: Solve for x
    x = 34,021,853.96/7,827.56
  6. Step 6: Final answer
    x = 4,346.42

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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.