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Finding the Fourth Proportional to 8,566.94, 11,817.81 and 5,210.78

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Solution

The fourth proportional to 8,566.94, 11,817.81 and 5,210.78 is: 7,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.94 : 11,817.81 = 5,210.78 : x
  2. Step 2: Convert to fraction form
    8,566.94/11,817.81 = 5,210.78/x
  3. Step 3: Cross multiply
    8,566.94x = 11,817.81 × 5,210.78
  4. Step 4: Simplify right side
    8,566.94x = 61,579,948.90
  5. Step 5: Solve for x
    x = 61,579,948.90/8,566.94
  6. Step 6: Final answer
    x = 7,188.10

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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.