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Finding the Fourth Proportional to 12,776.06, 17,630.98 and 7,187.06

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Solution

The fourth proportional to 12,776.06, 17,630.98 and 7,187.06 is: 9,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.06 : 17,630.98 = 7,187.06 : x
  2. Step 2: Convert to fraction form
    12,776.06/17,630.98 = 7,187.06/x
  3. Step 3: Cross multiply
    12,776.06x = 17,630.98 × 7,187.06
  4. Step 4: Simplify right side
    12,776.06x = 126,714,937.23
  5. Step 5: Solve for x
    x = 126,714,937.23/12,776.06
  6. Step 6: Final answer
    x = 9,918.15

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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.