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Finding the Fourth Proportional to 12,983.64, 19,492.76 and 8,781.01

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Solution

The fourth proportional to 12,983.64, 19,492.76 and 8,781.01 is: 13,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.64 : 19,492.76 = 8,781.01 : x
  2. Step 2: Convert to fraction form
    12,983.64/19,492.76 = 8,781.01/x
  3. Step 3: Cross multiply
    12,983.64x = 19,492.76 × 8,781.01
  4. Step 4: Simplify right side
    12,983.64x = 171,166,027.85
  5. Step 5: Solve for x
    x = 171,166,027.85/12,983.64
  6. Step 6: Final answer
    x = 13,183.21

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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.