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Finding the Fourth Proportional to 31,184.40, 46,792.40 and 13,654.40

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Solution

The fourth proportional to 31,184.40, 46,792.40 and 13,654.40 is: 20,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.40 : 46,792.40 = 13,654.40 : x
  2. Step 2: Convert to fraction form
    31,184.40/46,792.40 = 13,654.40/x
  3. Step 3: Cross multiply
    31,184.40x = 46,792.40 × 13,654.40
  4. Step 4: Simplify right side
    31,184.40x = 638,922,146.56
  5. Step 5: Solve for x
    x = 638,922,146.56/31,184.40
  6. Step 6: Final answer
    x = 20,488.52

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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.