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Finding the Fourth Proportional to 30,474.90, 45,719.81 and 10,484.70

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Solution

The fourth proportional to 30,474.90, 45,719.81 and 10,484.70 is: 15,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.90 : 45,719.81 = 10,484.70 : x
  2. Step 2: Convert to fraction form
    30,474.90/45,719.81 = 10,484.70/x
  3. Step 3: Cross multiply
    30,474.90x = 45,719.81 × 10,484.70
  4. Step 4: Simplify right side
    30,474.90x = 479,358,439.48
  5. Step 5: Solve for x
    x = 479,358,439.48/30,474.90
  6. Step 6: Final answer
    x = 15,729.61

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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.