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Finding the Fourth Proportional to 14,490, 19,996.20 and 7,866

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Solution

The fourth proportional to 14,490, 19,996.20 and 7,866 is: 10,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490 : 19,996.20 = 7,866 : x
  2. Step 2: Convert to fraction form
    14,490/19,996.20 = 7,866/x
  3. Step 3: Cross multiply
    14,490x = 19,996.20 × 7,866
  4. Step 4: Simplify right side
    14,490x = 157,290,109.20
  5. Step 5: Solve for x
    x = 157,290,109.20/14,490
  6. Step 6: Final answer
    x = 10,855.08

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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.