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Finding the Fourth Proportional to 10,653.32, 15,978.11 and 2,860.31

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Solution

The fourth proportional to 10,653.32, 15,978.11 and 2,860.31 is: 4,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.32 : 15,978.11 = 2,860.31 : x
  2. Step 2: Convert to fraction form
    10,653.32/15,978.11 = 2,860.31/x
  3. Step 3: Cross multiply
    10,653.32x = 15,978.11 × 2,860.31
  4. Step 4: Simplify right side
    10,653.32x = 45,702,389.55
  5. Step 5: Solve for x
    x = 45,702,389.55/10,653.32
  6. Step 6: Final answer
    x = 4,289.97

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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.