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Finding the Fourth Proportional to 8,340, 11,509.56 and 4,614

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Solution

The fourth proportional to 8,340, 11,509.56 and 4,614 is: 6,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340 : 11,509.56 = 4,614 : x
  2. Step 2: Convert to fraction form
    8,340/11,509.56 = 4,614/x
  3. Step 3: Cross multiply
    8,340x = 11,509.56 × 4,614
  4. Step 4: Simplify right side
    8,340x = 53,105,109.84
  5. Step 5: Solve for x
    x = 53,105,109.84/8,340
  6. Step 6: Final answer
    x = 6,367.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.