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Finding the Fourth Proportional to 21,448, 29,600.08 and 12,496.32

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Solution

The fourth proportional to 21,448, 29,600.08 and 12,496.32 is: 17,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448 : 29,600.08 = 12,496.32 : x
  2. Step 2: Convert to fraction form
    21,448/29,600.08 = 12,496.32/x
  3. Step 3: Cross multiply
    21,448x = 29,600.08 × 12,496.32
  4. Step 4: Simplify right side
    21,448x = 369,892,071.71
  5. Step 5: Solve for x
    x = 369,892,071.71/21,448
  6. Step 6: Final answer
    x = 17,245.99

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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.