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Finding the Fourth Proportional to 10,642.94, 15,964.42 and 2,851.56

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Solution

The fourth proportional to 10,642.94, 15,964.42 and 2,851.56 is: 4,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.94 : 15,964.42 = 2,851.56 : x
  2. Step 2: Convert to fraction form
    10,642.94/15,964.42 = 2,851.56/x
  3. Step 3: Cross multiply
    10,642.94x = 15,964.42 × 2,851.56
  4. Step 4: Simplify right side
    10,642.94x = 45,523,501.50
  5. Step 5: Solve for x
    x = 45,523,501.50/10,642.94
  6. Step 6: Final answer
    x = 4,277.34

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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.