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Finding the Fourth Proportional to 26,989.64, 40,489.07 and 9,219.32

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Solution

The fourth proportional to 26,989.64, 40,489.07 and 9,219.32 is: 13,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,989.64 : 40,489.07 = 9,219.32 : x
  2. Step 2: Convert to fraction form
    26,989.64/40,489.07 = 9,219.32/x
  3. Step 3: Cross multiply
    26,989.64x = 40,489.07 × 9,219.32
  4. Step 4: Simplify right side
    26,989.64x = 373,281,692.83
  5. Step 5: Solve for x
    x = 373,281,692.83/26,989.64
  6. Step 6: Final answer
    x = 13,830.55

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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.