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Finding the Fourth Proportional to 15,165.70, 20,998.65 and 13,999.30

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Solution

The fourth proportional to 15,165.70, 20,998.65 and 13,999.30 is: 19,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.70 : 20,998.65 = 13,999.30 : x
  2. Step 2: Convert to fraction form
    15,165.70/20,998.65 = 13,999.30/x
  3. Step 3: Cross multiply
    15,165.70x = 20,998.65 × 13,999.30
  4. Step 4: Simplify right side
    15,165.70x = 293,966,400.95
  5. Step 5: Solve for x
    x = 293,966,400.95/15,165.70
  6. Step 6: Final answer
    x = 19,383.64

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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.