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Finding the Fourth Proportional to 30,573.20, 45,802.20 and 15,731.60

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Solution

The fourth proportional to 30,573.20, 45,802.20 and 15,731.60 is: 23,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.20 : 45,802.20 = 15,731.60 : x
  2. Step 2: Convert to fraction form
    30,573.20/45,802.20 = 15,731.60/x
  3. Step 3: Cross multiply
    30,573.20x = 45,802.20 × 15,731.60
  4. Step 4: Simplify right side
    30,573.20x = 720,541,889.52
  5. Step 5: Solve for x
    x = 720,541,889.52/30,573.20
  6. Step 6: Final answer
    x = 23,567.76

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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.