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Finding the Fourth Proportional to 21,364, 29,469.36 and 13,798.24

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Solution

The fourth proportional to 21,364, 29,469.36 and 13,798.24 is: 19,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364 : 29,469.36 = 13,798.24 : x
  2. Step 2: Convert to fraction form
    21,364/29,469.36 = 13,798.24/x
  3. Step 3: Cross multiply
    21,364x = 29,469.36 × 13,798.24
  4. Step 4: Simplify right side
    21,364x = 406,625,301.93
  5. Step 5: Solve for x
    x = 406,625,301.93/21,364
  6. Step 6: Final answer
    x = 19,033.20

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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.