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Finding the Fourth Proportional to 13,802.81, 20,640.63 and 10,251.64

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Solution

The fourth proportional to 13,802.81, 20,640.63 and 10,251.64 is: 15,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.81 : 20,640.63 = 10,251.64 : x
  2. Step 2: Convert to fraction form
    13,802.81/20,640.63 = 10,251.64/x
  3. Step 3: Cross multiply
    13,802.81x = 20,640.63 × 10,251.64
  4. Step 4: Simplify right side
    13,802.81x = 211,600,308.13
  5. Step 5: Solve for x
    x = 211,600,308.13/13,802.81
  6. Step 6: Final answer
    x = 15,330.23

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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.