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Finding the Fourth Proportional to 12,307.86, 16,983.36 and 7,001.22

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Solution

The fourth proportional to 12,307.86, 16,983.36 and 7,001.22 is: 9,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.86 : 16,983.36 = 7,001.22 : x
  2. Step 2: Convert to fraction form
    12,307.86/16,983.36 = 7,001.22/x
  3. Step 3: Cross multiply
    12,307.86x = 16,983.36 × 7,001.22
  4. Step 4: Simplify right side
    12,307.86x = 118,904,239.70
  5. Step 5: Solve for x
    x = 118,904,239.70/12,307.86
  6. Step 6: Final answer
    x = 9,660.84

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1.5x scale

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.