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Finding the Fourth Proportional to 9,802.16, 13,515.04 and 8,538.56

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Solution

The fourth proportional to 9,802.16, 13,515.04 and 8,538.56 is: 11,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.16 : 13,515.04 = 8,538.56 : x
  2. Step 2: Convert to fraction form
    9,802.16/13,515.04 = 8,538.56/x
  3. Step 3: Cross multiply
    9,802.16x = 13,515.04 × 8,538.56
  4. Step 4: Simplify right side
    9,802.16x = 115,398,979.94
  5. Step 5: Solve for x
    x = 115,398,979.94/9,802.16
  6. Step 6: Final answer
    x = 11,772.81

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1.5x scale

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.