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Finding the Fourth Proportional to 13,802.31, 20,639.88 and 10,251.14

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Solution

The fourth proportional to 13,802.31, 20,639.88 and 10,251.14 is: 15,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.31 : 20,639.88 = 10,251.14 : x
  2. Step 2: Convert to fraction form
    13,802.31/20,639.88 = 10,251.14/x
  3. Step 3: Cross multiply
    13,802.31x = 20,639.88 × 10,251.14
  4. Step 4: Simplify right side
    13,802.31x = 211,582,299.46
  5. Step 5: Solve for x
    x = 211,582,299.46/13,802.31
  6. Step 6: Final answer
    x = 15,329.48

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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.