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Finding the Fourth Proportional to 9,189.70, 12,681.78 and 4,997.98

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Solution

The fourth proportional to 9,189.70, 12,681.78 and 4,997.98 is: 6,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.70 : 12,681.78 = 4,997.98 : x
  2. Step 2: Convert to fraction form
    9,189.70/12,681.78 = 4,997.98/x
  3. Step 3: Cross multiply
    9,189.70x = 12,681.78 × 4,997.98
  4. Step 4: Simplify right side
    9,189.70x = 63,383,282.80
  5. Step 5: Solve for x
    x = 63,383,282.80/9,189.70
  6. Step 6: Final answer
    x = 6,897.21

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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.