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Finding the Fourth Proportional to 31,903.68, 44,008.24 and 21,827.04

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Solution

The fourth proportional to 31,903.68, 44,008.24 and 21,827.04 is: 30,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.68 : 44,008.24 = 21,827.04 : x
  2. Step 2: Convert to fraction form
    31,903.68/44,008.24 = 21,827.04/x
  3. Step 3: Cross multiply
    31,903.68x = 44,008.24 × 21,827.04
  4. Step 4: Simplify right side
    31,903.68x = 960,569,614.81
  5. Step 5: Solve for x
    x = 960,569,614.81/31,903.68
  6. Step 6: Final answer
    x = 30,108.43

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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.