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Finding the Fourth Proportional to 13,077.84, 18,049.74 and 7,774.44

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Solution

The fourth proportional to 13,077.84, 18,049.74 and 7,774.44 is: 10,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.84 : 18,049.74 = 7,774.44 : x
  2. Step 2: Convert to fraction form
    13,077.84/18,049.74 = 7,774.44/x
  3. Step 3: Cross multiply
    13,077.84x = 18,049.74 × 7,774.44
  4. Step 4: Simplify right side
    13,077.84x = 140,326,620.65
  5. Step 5: Solve for x
    x = 140,326,620.65/13,077.84
  6. Step 6: Final answer
    x = 10,730.11

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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.