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Finding the Fourth Proportional to 21,664.06, 32,496.10 and 7,813.06

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Solution

The fourth proportional to 21,664.06, 32,496.10 and 7,813.06 is: 11,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.06 : 32,496.10 = 7,813.06 : x
  2. Step 2: Convert to fraction form
    21,664.06/32,496.10 = 7,813.06/x
  3. Step 3: Cross multiply
    21,664.06x = 32,496.10 × 7,813.06
  4. Step 4: Simplify right side
    21,664.06x = 253,893,979.07
  5. Step 5: Solve for x
    x = 253,893,979.07/21,664.06
  6. Step 6: Final answer
    x = 11,719.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.