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Finding the Fourth Proportional to 10,647.60, 15,953.82 and 6,474.99

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Solution

The fourth proportional to 10,647.60, 15,953.82 and 6,474.99 is: 9,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.60 : 15,953.82 = 6,474.99 : x
  2. Step 2: Convert to fraction form
    10,647.60/15,953.82 = 6,474.99/x
  3. Step 3: Cross multiply
    10,647.60x = 15,953.82 × 6,474.99
  4. Step 4: Simplify right side
    10,647.60x = 103,300,824.96
  5. Step 5: Solve for x
    x = 103,300,824.96/10,647.60
  6. Step 6: Final answer
    x = 9,701.79

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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.