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Finding the Fourth Proportional to 13,899.78, 19,174.55 and 9,422.01

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Solution

The fourth proportional to 13,899.78, 19,174.55 and 9,422.01 is: 12,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.78 : 19,174.55 = 9,422.01 : x
  2. Step 2: Convert to fraction form
    13,899.78/19,174.55 = 9,422.01/x
  3. Step 3: Cross multiply
    13,899.78x = 19,174.55 × 9,422.01
  4. Step 4: Simplify right side
    13,899.78x = 180,662,754.74
  5. Step 5: Solve for x
    x = 180,662,754.74/13,899.78
  6. Step 6: Final answer
    x = 12,997.53

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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.