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Finding the Fourth Proportional to 9,691, 14,541.75 and 7,504

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Solution

The fourth proportional to 9,691, 14,541.75 and 7,504 is: 11,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 14,541.75 = 7,504 : x
  2. Step 2: Convert to fraction form
    9,691/14,541.75 = 7,504/x
  3. Step 3: Cross multiply
    9,691x = 14,541.75 × 7,504
  4. Step 4: Simplify right side
    9,691x = 109,121,292
  5. Step 5: Solve for x
    x = 109,121,292/9,691
  6. Step 6: Final answer
    x = 11,260.07

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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.