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Finding the Fourth Proportional to 12,405.13, 18,605.22 and 6,077.29

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Solution

The fourth proportional to 12,405.13, 18,605.22 and 6,077.29 is: 9,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.13 : 18,605.22 = 6,077.29 : x
  2. Step 2: Convert to fraction form
    12,405.13/18,605.22 = 6,077.29/x
  3. Step 3: Cross multiply
    12,405.13x = 18,605.22 × 6,077.29
  4. Step 4: Simplify right side
    12,405.13x = 113,069,270.94
  5. Step 5: Solve for x
    x = 113,069,270.94/12,405.13
  6. Step 6: Final answer
    x = 9,114.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.