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Finding the Fourth Proportional to 10,259.70, 15,393 and 4,338

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Solution

The fourth proportional to 10,259.70, 15,393 and 4,338 is: 6,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.70 : 15,393 = 4,338 : x
  2. Step 2: Convert to fraction form
    10,259.70/15,393 = 4,338/x
  3. Step 3: Cross multiply
    10,259.70x = 15,393 × 4,338
  4. Step 4: Simplify right side
    10,259.70x = 66,774,834
  5. Step 5: Solve for x
    x = 66,774,834/10,259.70
  6. Step 6: Final answer
    x = 6,508.46

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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.