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Finding the Fourth Proportional to 9,989.98, 13,844.44 and 9,849.04

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Solution

The fourth proportional to 9,989.98, 13,844.44 and 9,849.04 is: 13,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.98 : 13,844.44 = 9,849.04 : x
  2. Step 2: Convert to fraction form
    9,989.98/13,844.44 = 9,849.04/x
  3. Step 3: Cross multiply
    9,989.98x = 13,844.44 × 9,849.04
  4. Step 4: Simplify right side
    9,989.98x = 136,354,443.34
  5. Step 5: Solve for x
    x = 136,354,443.34/9,989.98
  6. Step 6: Final answer
    x = 13,649.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.