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Finding the Fourth Proportional to 10,378.71, 15,568.79 and 2,983.01

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Solution

The fourth proportional to 10,378.71, 15,568.79 and 2,983.01 is: 4,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.71 : 15,568.79 = 2,983.01 : x
  2. Step 2: Convert to fraction form
    10,378.71/15,568.79 = 2,983.01/x
  3. Step 3: Cross multiply
    10,378.71x = 15,568.79 × 2,983.01
  4. Step 4: Simplify right side
    10,378.71x = 46,441,763.50
  5. Step 5: Solve for x
    x = 46,441,763.50/10,378.71
  6. Step 6: Final answer
    x = 4,474.71

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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.