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Finding the Fourth Proportional to 13,368.40, 20,047.08 and 5,047

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Solution

The fourth proportional to 13,368.40, 20,047.08 and 5,047 is: 7,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368.40 : 20,047.08 = 5,047 : x
  2. Step 2: Convert to fraction form
    13,368.40/20,047.08 = 5,047/x
  3. Step 3: Cross multiply
    13,368.40x = 20,047.08 × 5,047
  4. Step 4: Simplify right side
    13,368.40x = 101,177,612.76
  5. Step 5: Solve for x
    x = 101,177,612.76/13,368.40
  6. Step 6: Final answer
    x = 7,568.42

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Why These Related Problems?

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