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Finding the Fourth Proportional to 39,989.88, 55,184.53 and 21,840

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Solution

The fourth proportional to 39,989.88, 55,184.53 and 21,840 is: 30,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989.88 : 55,184.53 = 21,840 : x
  2. Step 2: Convert to fraction form
    39,989.88/55,184.53 = 21,840/x
  3. Step 3: Cross multiply
    39,989.88x = 55,184.53 × 21,840
  4. Step 4: Simplify right side
    39,989.88x = 1,205,230,135.20
  5. Step 5: Solve for x
    x = 1,205,230,135.20/39,989.88
  6. Step 6: Final answer
    x = 30,138.38

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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.