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Finding the Fourth Proportional to 31,683.84, 43,752.74 and 20,373

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Solution

The fourth proportional to 31,683.84, 43,752.74 and 20,373 is: 28,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.84 : 43,752.74 = 20,373 : x
  2. Step 2: Convert to fraction form
    31,683.84/43,752.74 = 20,373/x
  3. Step 3: Cross multiply
    31,683.84x = 43,752.74 × 20,373
  4. Step 4: Simplify right side
    31,683.84x = 891,374,470.16
  5. Step 5: Solve for x
    x = 891,374,470.16/31,683.84
  6. Step 6: Final answer
    x = 28,133.41

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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.