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Finding the Fourth Proportional to 4,338, 6,507 and 1,051.08

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Solution

The fourth proportional to 4,338, 6,507 and 1,051.08 is: 1,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338 : 6,507 = 1,051.08 : x
  2. Step 2: Convert to fraction form
    4,338/6,507 = 1,051.08/x
  3. Step 3: Cross multiply
    4,338x = 6,507 × 1,051.08
  4. Step 4: Simplify right side
    4,338x = 6,839,377.56
  5. Step 5: Solve for x
    x = 6,839,377.56/4,338
  6. Step 6: Final answer
    x = 1,576.62

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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.