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Finding the Fourth Proportional to 13,766, 19,001.40 and 8,798

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Solution

The fourth proportional to 13,766, 19,001.40 and 8,798 is: 12,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766 : 19,001.40 = 8,798 : x
  2. Step 2: Convert to fraction form
    13,766/19,001.40 = 8,798/x
  3. Step 3: Cross multiply
    13,766x = 19,001.40 × 8,798
  4. Step 4: Simplify right side
    13,766x = 167,174,317.20
  5. Step 5: Solve for x
    x = 167,174,317.20/13,766
  6. Step 6: Final answer
    x = 12,144.00

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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.