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Finding the Fourth Proportional to 12,307.64, 16,994.22 and 9,910

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Solution

The fourth proportional to 12,307.64, 16,994.22 and 9,910 is: 13,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.64 : 16,994.22 = 9,910 : x
  2. Step 2: Convert to fraction form
    12,307.64/16,994.22 = 9,910/x
  3. Step 3: Cross multiply
    12,307.64x = 16,994.22 × 9,910
  4. Step 4: Simplify right side
    12,307.64x = 168,412,720.20
  5. Step 5: Solve for x
    x = 168,412,720.20/12,307.64
  6. Step 6: Final answer
    x = 13,683.59

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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.