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Finding the Fourth Proportional to 7,651, 10,558.38 and 4,339

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Solution

The fourth proportional to 7,651, 10,558.38 and 4,339 is: 5,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651 : 10,558.38 = 4,339 : x
  2. Step 2: Convert to fraction form
    7,651/10,558.38 = 4,339/x
  3. Step 3: Cross multiply
    7,651x = 10,558.38 × 4,339
  4. Step 4: Simplify right side
    7,651x = 45,812,810.82
  5. Step 5: Solve for x
    x = 45,812,810.82/7,651
  6. Step 6: Final answer
    x = 5,987.82

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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.