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Finding the Fourth Proportional to 10,573.30, 15,860.76 and 2,782

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Solution

The fourth proportional to 10,573.30, 15,860.76 and 2,782 is: 4,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.30 : 15,860.76 = 2,782 : x
  2. Step 2: Convert to fraction form
    10,573.30/15,860.76 = 2,782/x
  3. Step 3: Cross multiply
    10,573.30x = 15,860.76 × 2,782
  4. Step 4: Simplify right side
    10,573.30x = 44,124,634.32
  5. Step 5: Solve for x
    x = 44,124,634.32/10,573.30
  6. Step 6: Final answer
    x = 4,173.21

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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.