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Finding the Fourth Proportional to 9,166.10, 13,767.56 and 8,907.71

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Solution

The fourth proportional to 9,166.10, 13,767.56 and 8,907.71 is: 13,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.10 : 13,767.56 = 8,907.71 : x
  2. Step 2: Convert to fraction form
    9,166.10/13,767.56 = 8,907.71/x
  3. Step 3: Cross multiply
    9,166.10x = 13,767.56 × 8,907.71
  4. Step 4: Simplify right side
    9,166.10x = 122,637,431.89
  5. Step 5: Solve for x
    x = 122,637,431.89/9,166.10
  6. Step 6: Final answer
    x = 13,379.46

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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.