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Finding the Fourth Proportional to 10,259, 15,390.92 and 3,333.52

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Solution

The fourth proportional to 10,259, 15,390.92 and 3,333.52 is: 5,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259 : 15,390.92 = 3,333.52 : x
  2. Step 2: Convert to fraction form
    10,259/15,390.92 = 3,333.52/x
  3. Step 3: Cross multiply
    10,259x = 15,390.92 × 3,333.52
  4. Step 4: Simplify right side
    10,259x = 51,305,939.64
  5. Step 5: Solve for x
    x = 51,305,939.64/10,259
  6. Step 6: Final answer
    x = 5,001.07

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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.