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Finding the Fourth Proportional to 13,894.65, 20,844.14 and 5,574.87

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Solution

The fourth proportional to 13,894.65, 20,844.14 and 5,574.87 is: 8,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.65 : 20,844.14 = 5,574.87 : x
  2. Step 2: Convert to fraction form
    13,894.65/20,844.14 = 5,574.87/x
  3. Step 3: Cross multiply
    13,894.65x = 20,844.14 × 5,574.87
  4. Step 4: Simplify right side
    13,894.65x = 116,203,342.89
  5. Step 5: Solve for x
    x = 116,203,342.89/13,894.65
  6. Step 6: Final answer
    x = 8,363.17

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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.