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Finding the Fourth Proportional to 37,280, 51,447.48 and 20,513

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Solution

The fourth proportional to 37,280, 51,447.48 and 20,513 is: 28,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 51,447.48 = 20,513 : x
  2. Step 2: Convert to fraction form
    37,280/51,447.48 = 20,513/x
  3. Step 3: Cross multiply
    37,280x = 51,447.48 × 20,513
  4. Step 4: Simplify right side
    37,280x = 1,055,342,157.24
  5. Step 5: Solve for x
    x = 1,055,342,157.24/37,280
  6. Step 6: Final answer
    x = 28,308.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.