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Finding the Fourth Proportional to 13,994.64, 20,991.94 and 9,598.78

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Solution

The fourth proportional to 13,994.64, 20,991.94 and 9,598.78 is: 14,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.64 : 20,991.94 = 9,598.78 : x
  2. Step 2: Convert to fraction form
    13,994.64/20,991.94 = 9,598.78/x
  3. Step 3: Cross multiply
    13,994.64x = 20,991.94 × 9,598.78
  4. Step 4: Simplify right side
    13,994.64x = 201,497,013.83
  5. Step 5: Solve for x
    x = 201,497,013.83/13,994.64
  6. Step 6: Final answer
    x = 14,398.16

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1.5x scale

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.