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Finding the Fourth Proportional to 30,378.66, 45,568.38 and 10,657.80

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Solution

The fourth proportional to 30,378.66, 45,568.38 and 10,657.80 is: 15,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.66 : 45,568.38 = 10,657.80 : x
  2. Step 2: Convert to fraction form
    30,378.66/45,568.38 = 10,657.80/x
  3. Step 3: Cross multiply
    30,378.66x = 45,568.38 × 10,657.80
  4. Step 4: Simplify right side
    30,378.66x = 485,658,680.36
  5. Step 5: Solve for x
    x = 485,658,680.36/30,378.66
  6. Step 6: Final answer
    x = 15,986.84

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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.