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Finding the Fourth Proportional to 21,384, 29,509.38 and 11,952.63

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Solution

The fourth proportional to 21,384, 29,509.38 and 11,952.63 is: 16,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 29,509.38 = 11,952.63 : x
  2. Step 2: Convert to fraction form
    21,384/29,509.38 = 11,952.63/x
  3. Step 3: Cross multiply
    21,384x = 29,509.38 × 11,952.63
  4. Step 4: Simplify right side
    21,384x = 352,714,700.67
  5. Step 5: Solve for x
    x = 352,714,700.67/21,384
  6. Step 6: Final answer
    x = 16,494.33

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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.