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Finding the Fourth Proportional to 9,169.78, 13,746.44 and 4,790.32

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Solution

The fourth proportional to 9,169.78, 13,746.44 and 4,790.32 is: 7,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.78 : 13,746.44 = 4,790.32 : x
  2. Step 2: Convert to fraction form
    9,169.78/13,746.44 = 4,790.32/x
  3. Step 3: Cross multiply
    9,169.78x = 13,746.44 × 4,790.32
  4. Step 4: Simplify right side
    9,169.78x = 65,849,846.46
  5. Step 5: Solve for x
    x = 65,849,846.46/9,169.78
  6. Step 6: Final answer
    x = 7,181.18

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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.