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Finding the Fourth Proportional to 30,500.69, 45,742.23 and 10,509.37

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Solution

The fourth proportional to 30,500.69, 45,742.23 and 10,509.37 is: 15,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.69 : 45,742.23 = 10,509.37 : x
  2. Step 2: Convert to fraction form
    30,500.69/45,742.23 = 10,509.37/x
  3. Step 3: Cross multiply
    30,500.69x = 45,742.23 × 10,509.37
  4. Step 4: Simplify right side
    30,500.69x = 480,722,019.70
  5. Step 5: Solve for x
    x = 480,722,019.70/30,500.69
  6. Step 6: Final answer
    x = 15,761.02

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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.