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Finding the Fourth Proportional to 9,538.97, 13,164.98 and 7,943.21

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Solution

The fourth proportional to 9,538.97, 13,164.98 and 7,943.21 is: 10,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.97 : 13,164.98 = 7,943.21 : x
  2. Step 2: Convert to fraction form
    9,538.97/13,164.98 = 7,943.21/x
  3. Step 3: Cross multiply
    9,538.97x = 13,164.98 × 7,943.21
  4. Step 4: Simplify right side
    9,538.97x = 104,572,263.35
  5. Step 5: Solve for x
    x = 104,572,263.35/9,538.97
  6. Step 6: Final answer
    x = 10,962.64

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Double scale
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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.