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Finding the Fourth Proportional to 7,890.72, 11,840.76 and 7,083.96

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Solution

The fourth proportional to 7,890.72, 11,840.76 and 7,083.96 is: 10,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.72 : 11,840.76 = 7,083.96 : x
  2. Step 2: Convert to fraction form
    7,890.72/11,840.76 = 7,083.96/x
  3. Step 3: Cross multiply
    7,890.72x = 11,840.76 × 7,083.96
  4. Step 4: Simplify right side
    7,890.72x = 83,879,470.21
  5. Step 5: Solve for x
    x = 83,879,470.21/7,890.72
  6. Step 6: Final answer
    x = 10,630.14

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1.5x scale

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.