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Finding the Fourth Proportional to 9,001.56, 12,356.07 and 7,984.62

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Solution

The fourth proportional to 9,001.56, 12,356.07 and 7,984.62 is: 10,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.56 : 12,356.07 = 7,984.62 : x
  2. Step 2: Convert to fraction form
    9,001.56/12,356.07 = 7,984.62/x
  3. Step 3: Cross multiply
    9,001.56x = 12,356.07 × 7,984.62
  4. Step 4: Simplify right side
    9,001.56x = 98,658,523.64
  5. Step 5: Solve for x
    x = 98,658,523.64/9,001.56
  6. Step 6: Final answer
    x = 10,960.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.