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Finding the Fourth Proportional to 10,538, 14,543.72 and 6,122

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Solution

The fourth proportional to 10,538, 14,543.72 and 6,122 is: 8,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538 : 14,543.72 = 6,122 : x
  2. Step 2: Convert to fraction form
    10,538/14,543.72 = 6,122/x
  3. Step 3: Cross multiply
    10,538x = 14,543.72 × 6,122
  4. Step 4: Simplify right side
    10,538x = 89,036,653.84
  5. Step 5: Solve for x
    x = 89,036,653.84/10,538
  6. Step 6: Final answer
    x = 8,449.10

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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.