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Finding the Fourth Proportional to 9,100.84, 12,559 and 5,121.96

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Solution

The fourth proportional to 9,100.84, 12,559 and 5,121.96 is: 7,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.84 : 12,559 = 5,121.96 : x
  2. Step 2: Convert to fraction form
    9,100.84/12,559 = 5,121.96/x
  3. Step 3: Cross multiply
    9,100.84x = 12,559 × 5,121.96
  4. Step 4: Simplify right side
    9,100.84x = 64,326,695.64
  5. Step 5: Solve for x
    x = 64,326,695.64/9,100.84
  6. Step 6: Final answer
    x = 7,068.22

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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.