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Finding the Fourth Proportional to 13,941, 19,238.06 and 7,972.52

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Solution

The fourth proportional to 13,941, 19,238.06 and 7,972.52 is: 11,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941 : 19,238.06 = 7,972.52 : x
  2. Step 2: Convert to fraction form
    13,941/19,238.06 = 7,972.52/x
  3. Step 3: Cross multiply
    13,941x = 19,238.06 × 7,972.52
  4. Step 4: Simplify right side
    13,941x = 153,375,682.06
  5. Step 5: Solve for x
    x = 153,375,682.06/13,941
  6. Step 6: Final answer
    x = 11,001.77

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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.