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Finding the Fourth Proportional to 12,182.88, 16,812.17 and 6,804.98

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Solution

The fourth proportional to 12,182.88, 16,812.17 and 6,804.98 is: 9,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.88 : 16,812.17 = 6,804.98 : x
  2. Step 2: Convert to fraction form
    12,182.88/16,812.17 = 6,804.98/x
  3. Step 3: Cross multiply
    12,182.88x = 16,812.17 × 6,804.98
  4. Step 4: Simplify right side
    12,182.88x = 114,406,362.52
  5. Step 5: Solve for x
    x = 114,406,362.52/12,182.88
  6. Step 6: Final answer
    x = 9,390.75

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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.