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Finding the Fourth Proportional to 11,810.72, 17,703.93 and 5,240

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Solution

The fourth proportional to 11,810.72, 17,703.93 and 5,240 is: 7,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.72 : 17,703.93 = 5,240 : x
  2. Step 2: Convert to fraction form
    11,810.72/17,703.93 = 5,240/x
  3. Step 3: Cross multiply
    11,810.72x = 17,703.93 × 5,240
  4. Step 4: Simplify right side
    11,810.72x = 92,768,593.20
  5. Step 5: Solve for x
    x = 92,768,593.20/11,810.72
  6. Step 6: Final answer
    x = 7,854.61

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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.