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Finding the Fourth Proportional to 31,135.96, 46,706.84 and 12,411.46

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Solution

The fourth proportional to 31,135.96, 46,706.84 and 12,411.46 is: 18,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.96 : 46,706.84 = 12,411.46 : x
  2. Step 2: Convert to fraction form
    31,135.96/46,706.84 = 12,411.46/x
  3. Step 3: Cross multiply
    31,135.96x = 46,706.84 × 12,411.46
  4. Step 4: Simplify right side
    31,135.96x = 579,700,076.39
  5. Step 5: Solve for x
    x = 579,700,076.39/31,135.96
  6. Step 6: Final answer
    x = 18,618.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.