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Finding the Fourth Proportional to 9,680.72, 13,363.47 and 6,541.16

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Solution

The fourth proportional to 9,680.72, 13,363.47 and 6,541.16 is: 9,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.72 : 13,363.47 = 6,541.16 : x
  2. Step 2: Convert to fraction form
    9,680.72/13,363.47 = 6,541.16/x
  3. Step 3: Cross multiply
    9,680.72x = 13,363.47 × 6,541.16
  4. Step 4: Simplify right side
    9,680.72x = 87,412,528.61
  5. Step 5: Solve for x
    x = 87,412,528.61/9,680.72
  6. Step 6: Final answer
    x = 9,029.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.