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Finding the Fourth Proportional to 12,442.16, 17,169.66 and 6,776.93

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Solution

The fourth proportional to 12,442.16, 17,169.66 and 6,776.93 is: 9,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.16 : 17,169.66 = 6,776.93 : x
  2. Step 2: Convert to fraction form
    12,442.16/17,169.66 = 6,776.93/x
  3. Step 3: Cross multiply
    12,442.16x = 17,169.66 × 6,776.93
  4. Step 4: Simplify right side
    12,442.16x = 116,357,498.10
  5. Step 5: Solve for x
    x = 116,357,498.10/12,442.16
  6. Step 6: Final answer
    x = 9,351.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.