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Finding the Fourth Proportional to 12,163.94, 16,787.85 and 7,130.14

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Solution

The fourth proportional to 12,163.94, 16,787.85 and 7,130.14 is: 9,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.94 : 16,787.85 = 7,130.14 : x
  2. Step 2: Convert to fraction form
    12,163.94/16,787.85 = 7,130.14/x
  3. Step 3: Cross multiply
    12,163.94x = 16,787.85 × 7,130.14
  4. Step 4: Simplify right side
    12,163.94x = 119,699,652.09
  5. Step 5: Solve for x
    x = 119,699,652.09/12,163.94
  6. Step 6: Final answer
    x = 9,840.53

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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.