Home / 7,827.66-11,743.90-7,000.64

Finding the Fourth Proportional to 7,827.66, 11,743.90 and 7,000.64

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Solution

The fourth proportional to 7,827.66, 11,743.90 and 7,000.64 is: 10,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.66 : 11,743.90 = 7,000.64 : x
  2. Step 2: Convert to fraction form
    7,827.66/11,743.90 = 7,000.64/x
  3. Step 3: Cross multiply
    7,827.66x = 11,743.90 × 7,000.64
  4. Step 4: Simplify right side
    7,827.66x = 82,214,816.10
  5. Step 5: Solve for x
    x = 82,214,816.10/7,827.66
  6. Step 6: Final answer
    x = 10,503.12

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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.