Home / 7,827.30-11,741.76-7,270.02

Finding the Fourth Proportional to 7,827.30, 11,741.76 and 7,270.02

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Solution

The fourth proportional to 7,827.30, 11,741.76 and 7,270.02 is: 10,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.30 : 11,741.76 = 7,270.02 : x
  2. Step 2: Convert to fraction form
    7,827.30/11,741.76 = 7,270.02/x
  3. Step 3: Cross multiply
    7,827.30x = 11,741.76 × 7,270.02
  4. Step 4: Simplify right side
    7,827.30x = 85,362,830.04
  5. Step 5: Solve for x
    x = 85,362,830.04/7,827.30
  6. Step 6: Final answer
    x = 10,905.78

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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.