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Finding the Fourth Proportional to 8,866.16, 12,233.34 and 5,138

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Solution

The fourth proportional to 8,866.16, 12,233.34 and 5,138 is: 7,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.16 : 12,233.34 = 5,138 : x
  2. Step 2: Convert to fraction form
    8,866.16/12,233.34 = 5,138/x
  3. Step 3: Cross multiply
    8,866.16x = 12,233.34 × 5,138
  4. Step 4: Simplify right side
    8,866.16x = 62,854,900.92
  5. Step 5: Solve for x
    x = 62,854,900.92/8,866.16
  6. Step 6: Final answer
    x = 7,089.30

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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.