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Finding the Fourth Proportional to 8,133, 11,223.54 and 4,407

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Solution

The fourth proportional to 8,133, 11,223.54 and 4,407 is: 6,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 11,223.54 = 4,407 : x
  2. Step 2: Convert to fraction form
    8,133/11,223.54 = 4,407/x
  3. Step 3: Cross multiply
    8,133x = 11,223.54 × 4,407
  4. Step 4: Simplify right side
    8,133x = 49,462,140.78
  5. Step 5: Solve for x
    x = 49,462,140.78/8,133
  6. Step 6: Final answer
    x = 6,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.