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Finding the Fourth Proportional to 9,681.56, 14,522.45 and 9,209.42

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Solution

The fourth proportional to 9,681.56, 14,522.45 and 9,209.42 is: 13,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.56 : 14,522.45 = 9,209.42 : x
  2. Step 2: Convert to fraction form
    9,681.56/14,522.45 = 9,209.42/x
  3. Step 3: Cross multiply
    9,681.56x = 14,522.45 × 9,209.42
  4. Step 4: Simplify right side
    9,681.56x = 133,743,222.82
  5. Step 5: Solve for x
    x = 133,743,222.82/9,681.56
  6. Step 6: Final answer
    x = 13,814.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.