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Finding the Fourth Proportional to 31,095, 46,641.36 and 8,908.36

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Solution

The fourth proportional to 31,095, 46,641.36 and 8,908.36 is: 13,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095 : 46,641.36 = 8,908.36 : x
  2. Step 2: Convert to fraction form
    31,095/46,641.36 = 8,908.36/x
  3. Step 3: Cross multiply
    31,095x = 46,641.36 × 8,908.36
  4. Step 4: Simplify right side
    31,095x = 415,498,025.77
  5. Step 5: Solve for x
    x = 415,498,025.77/31,095
  6. Step 6: Final answer
    x = 13,362.21

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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.