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Finding the Fourth Proportional to 10,036, 13,849.68 and 5,620

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Solution

The fourth proportional to 10,036, 13,849.68 and 5,620 is: 7,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036 : 13,849.68 = 5,620 : x
  2. Step 2: Convert to fraction form
    10,036/13,849.68 = 5,620/x
  3. Step 3: Cross multiply
    10,036x = 13,849.68 × 5,620
  4. Step 4: Simplify right side
    10,036x = 77,835,201.60
  5. Step 5: Solve for x
    x = 77,835,201.60/10,036
  6. Step 6: Final answer
    x = 7,755.60

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