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Finding the Fourth Proportional to 10,509.80, 15,767 and 3,114.84

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Solution

The fourth proportional to 10,509.80, 15,767 and 3,114.84 is: 4,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.80 : 15,767 = 3,114.84 : x
  2. Step 2: Convert to fraction form
    10,509.80/15,767 = 3,114.84/x
  3. Step 3: Cross multiply
    10,509.80x = 15,767 × 3,114.84
  4. Step 4: Simplify right side
    10,509.80x = 49,111,682.28
  5. Step 5: Solve for x
    x = 49,111,682.28/10,509.80
  6. Step 6: Final answer
    x = 4,672.94

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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.