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Finding the Fourth Proportional to 12,359.66, 18,509.42 and 6,417.86

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Solution

The fourth proportional to 12,359.66, 18,509.42 and 6,417.86 is: 9,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.66 : 18,509.42 = 6,417.86 : x
  2. Step 2: Convert to fraction form
    12,359.66/18,509.42 = 6,417.86/x
  3. Step 3: Cross multiply
    12,359.66x = 18,509.42 × 6,417.86
  4. Step 4: Simplify right side
    12,359.66x = 118,790,850.82
  5. Step 5: Solve for x
    x = 118,790,850.82/12,359.66
  6. Step 6: Final answer
    x = 9,611.17

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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.