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Finding the Fourth Proportional to 12,900.66, 19,351.11 and 4,580.82

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Solution

The fourth proportional to 12,900.66, 19,351.11 and 4,580.82 is: 6,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.66 : 19,351.11 = 4,580.82 : x
  2. Step 2: Convert to fraction form
    12,900.66/19,351.11 = 4,580.82/x
  3. Step 3: Cross multiply
    12,900.66x = 19,351.11 × 4,580.82
  4. Step 4: Simplify right side
    12,900.66x = 88,643,951.71
  5. Step 5: Solve for x
    x = 88,643,951.71/12,900.66
  6. Step 6: Final answer
    x = 6,871.27

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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.