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Finding the Fourth Proportional to 13,698.77, 18,897.82 and 8,916.97

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Solution

The fourth proportional to 13,698.77, 18,897.82 and 8,916.97 is: 12,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.77 : 18,897.82 = 8,916.97 : x
  2. Step 2: Convert to fraction form
    13,698.77/18,897.82 = 8,916.97/x
  3. Step 3: Cross multiply
    13,698.77x = 18,897.82 × 8,916.97
  4. Step 4: Simplify right side
    13,698.77x = 168,511,294.01
  5. Step 5: Solve for x
    x = 168,511,294.01/13,698.77
  6. Step 6: Final answer
    x = 12,301.20

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1.5x scale

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.