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Finding the Fourth Proportional to 13,693.70, 18,892.25 and 10,117.28

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Solution

The fourth proportional to 13,693.70, 18,892.25 and 10,117.28 is: 13,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.70 : 18,892.25 = 10,117.28 : x
  2. Step 2: Convert to fraction form
    13,693.70/18,892.25 = 10,117.28/x
  3. Step 3: Cross multiply
    13,693.70x = 18,892.25 × 10,117.28
  4. Step 4: Simplify right side
    13,693.70x = 191,138,038.03
  5. Step 5: Solve for x
    x = 191,138,038.03/13,693.70
  6. Step 6: Final answer
    x = 13,958.11

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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.