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Finding the Fourth Proportional to 12,931.35, 17,846.91 and 7,626.66

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Solution

The fourth proportional to 12,931.35, 17,846.91 and 7,626.66 is: 10,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.35 : 17,846.91 = 7,626.66 : x
  2. Step 2: Convert to fraction form
    12,931.35/17,846.91 = 7,626.66/x
  3. Step 3: Cross multiply
    12,931.35x = 17,846.91 × 7,626.66
  4. Step 4: Simplify right side
    12,931.35x = 136,112,314.62
  5. Step 5: Solve for x
    x = 136,112,314.62/12,931.35
  6. Step 6: Final answer
    x = 10,525.76

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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.