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Finding the Fourth Proportional to 30,878.16, 46,314.94 and 9,817.36

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Solution

The fourth proportional to 30,878.16, 46,314.94 and 9,817.36 is: 14,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.16 : 46,314.94 = 9,817.36 : x
  2. Step 2: Convert to fraction form
    30,878.16/46,314.94 = 9,817.36/x
  3. Step 3: Cross multiply
    30,878.16x = 46,314.94 × 9,817.36
  4. Step 4: Simplify right side
    30,878.16x = 454,690,439.36
  5. Step 5: Solve for x
    x = 454,690,439.36/30,878.16
  6. Step 6: Final answer
    x = 14,725.31

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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.