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Finding the Fourth Proportional to 12,879.36, 17,770.95 and 7,840.22

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Solution

The fourth proportional to 12,879.36, 17,770.95 and 7,840.22 is: 10,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.36 : 17,770.95 = 7,840.22 : x
  2. Step 2: Convert to fraction form
    12,879.36/17,770.95 = 7,840.22/x
  3. Step 3: Cross multiply
    12,879.36x = 17,770.95 × 7,840.22
  4. Step 4: Simplify right side
    12,879.36x = 139,328,068.75
  5. Step 5: Solve for x
    x = 139,328,068.75/12,879.36
  6. Step 6: Final answer
    x = 10,817.93

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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.