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Finding the Fourth Proportional to 13,349.37, 20,036.19 and 7,114.71

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Solution

The fourth proportional to 13,349.37, 20,036.19 and 7,114.71 is: 10,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.37 : 20,036.19 = 7,114.71 : x
  2. Step 2: Convert to fraction form
    13,349.37/20,036.19 = 7,114.71/x
  3. Step 3: Cross multiply
    13,349.37x = 20,036.19 × 7,114.71
  4. Step 4: Simplify right side
    13,349.37x = 142,551,681.35
  5. Step 5: Solve for x
    x = 142,551,681.35/13,349.37
  6. Step 6: Final answer
    x = 10,678.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.