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Finding the Fourth Proportional to 10,420.88, 15,597.75 and 6,865.93

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Solution

The fourth proportional to 10,420.88, 15,597.75 and 6,865.93 is: 10,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.88 : 15,597.75 = 6,865.93 : x
  2. Step 2: Convert to fraction form
    10,420.88/15,597.75 = 6,865.93/x
  3. Step 3: Cross multiply
    10,420.88x = 15,597.75 × 6,865.93
  4. Step 4: Simplify right side
    10,420.88x = 107,093,059.66
  5. Step 5: Solve for x
    x = 107,093,059.66/10,420.88
  6. Step 6: Final answer
    x = 10,276.78

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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.