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Finding the Fourth Proportional to 8,566, 11,821.10 and 4,840

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Solution

The fourth proportional to 8,566, 11,821.10 and 4,840 is: 6,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 11,821.10 = 4,840 : x
  2. Step 2: Convert to fraction form
    8,566/11,821.10 = 4,840/x
  3. Step 3: Cross multiply
    8,566x = 11,821.10 × 4,840
  4. Step 4: Simplify right side
    8,566x = 57,214,124
  5. Step 5: Solve for x
    x = 57,214,124/8,566
  6. Step 6: Final answer
    x = 6,679.21

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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.