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Finding the Fourth Proportional to 7,343, 11,014.56 and 3,239

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Solution

The fourth proportional to 7,343, 11,014.56 and 3,239 is: 4,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343 : 11,014.56 = 3,239 : x
  2. Step 2: Convert to fraction form
    7,343/11,014.56 = 3,239/x
  3. Step 3: Cross multiply
    7,343x = 11,014.56 × 3,239
  4. Step 4: Simplify right side
    7,343x = 35,676,159.84
  5. Step 5: Solve for x
    x = 35,676,159.84/7,343
  6. Step 6: Final answer
    x = 4,858.53

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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.