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Finding the Fourth Proportional to 10,636, 14,677.68 and 6,220

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Solution

The fourth proportional to 10,636, 14,677.68 and 6,220 is: 8,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636 : 14,677.68 = 6,220 : x
  2. Step 2: Convert to fraction form
    10,636/14,677.68 = 6,220/x
  3. Step 3: Cross multiply
    10,636x = 14,677.68 × 6,220
  4. Step 4: Simplify right side
    10,636x = 91,295,169.60
  5. Step 5: Solve for x
    x = 91,295,169.60/10,636
  6. Step 6: Final answer
    x = 8,583.60

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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.