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Finding the Fourth Proportional to 14,356.65, 19,813.41 and 7,984.49

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Solution

The fourth proportional to 14,356.65, 19,813.41 and 7,984.49 is: 11,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.65 : 19,813.41 = 7,984.49 : x
  2. Step 2: Convert to fraction form
    14,356.65/19,813.41 = 7,984.49/x
  3. Step 3: Cross multiply
    14,356.65x = 19,813.41 × 7,984.49
  4. Step 4: Simplify right side
    14,356.65x = 158,199,974.01
  5. Step 5: Solve for x
    x = 158,199,974.01/14,356.65
  6. Step 6: Final answer
    x = 11,019.28

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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.