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Finding the Fourth Proportional to 12,102.77, 16,698.87 and 7,064.12

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Solution

The fourth proportional to 12,102.77, 16,698.87 and 7,064.12 is: 9,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.77 : 16,698.87 = 7,064.12 : x
  2. Step 2: Convert to fraction form
    12,102.77/16,698.87 = 7,064.12/x
  3. Step 3: Cross multiply
    12,102.77x = 16,698.87 × 7,064.12
  4. Step 4: Simplify right side
    12,102.77x = 117,962,738.05
  5. Step 5: Solve for x
    x = 117,962,738.05/12,102.77
  6. Step 6: Final answer
    x = 9,746.76

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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.