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Finding the Fourth Proportional to 21,822.77, 30,089.00 and 16,978.90

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Solution

The fourth proportional to 21,822.77, 30,089.00 and 16,978.90 is: 23,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.77 : 30,089.00 = 16,978.90 : x
  2. Step 2: Convert to fraction form
    21,822.77/30,089.00 = 16,978.90/x
  3. Step 3: Cross multiply
    21,822.77x = 30,089.00 × 16,978.90
  4. Step 4: Simplify right side
    21,822.77x = 510,878,236.86
  5. Step 5: Solve for x
    x = 510,878,236.86/21,822.77
  6. Step 6: Final answer
    x = 23,410.33

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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.