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Finding the Fourth Proportional to 25,313.31, 37,959.03 and 9,720

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Solution

The fourth proportional to 25,313.31, 37,959.03 and 9,720 is: 14,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,313.31 : 37,959.03 = 9,720 : x
  2. Step 2: Convert to fraction form
    25,313.31/37,959.03 = 9,720/x
  3. Step 3: Cross multiply
    25,313.31x = 37,959.03 × 9,720
  4. Step 4: Simplify right side
    25,313.31x = 368,961,771.60
  5. Step 5: Solve for x
    x = 368,961,771.60/25,313.31
  6. Step 6: Final answer
    x = 14,575.80

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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.