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Finding the Fourth Proportional to 13,970.66, 20,969.75 and 10,262.48

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Solution

The fourth proportional to 13,970.66, 20,969.75 and 10,262.48 is: 15,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.66 : 20,969.75 = 10,262.48 : x
  2. Step 2: Convert to fraction form
    13,970.66/20,969.75 = 10,262.48/x
  3. Step 3: Cross multiply
    13,970.66x = 20,969.75 × 10,262.48
  4. Step 4: Simplify right side
    13,970.66x = 215,201,560.79
  5. Step 5: Solve for x
    x = 215,201,560.79/13,970.66
  6. Step 6: Final answer
    x = 15,403.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.