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Finding the Fourth Proportional to 9,921.62, 13,709.93 and 7,228.14

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Solution

The fourth proportional to 9,921.62, 13,709.93 and 7,228.14 is: 9,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.62 : 13,709.93 = 7,228.14 : x
  2. Step 2: Convert to fraction form
    9,921.62/13,709.93 = 7,228.14/x
  3. Step 3: Cross multiply
    9,921.62x = 13,709.93 × 7,228.14
  4. Step 4: Simplify right side
    9,921.62x = 99,097,257.29
  5. Step 5: Solve for x
    x = 99,097,257.29/9,921.62
  6. Step 6: Final answer
    x = 9,988.02

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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.