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Finding the Fourth Proportional to 30,947.66, 46,414.50 and 8,755.08

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Solution

The fourth proportional to 30,947.66, 46,414.50 and 8,755.08 is: 13,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.66 : 46,414.50 = 8,755.08 : x
  2. Step 2: Convert to fraction form
    30,947.66/46,414.50 = 8,755.08/x
  3. Step 3: Cross multiply
    30,947.66x = 46,414.50 × 8,755.08
  4. Step 4: Simplify right side
    30,947.66x = 406,362,660.66
  5. Step 5: Solve for x
    x = 406,362,660.66/30,947.66
  6. Step 6: Final answer
    x = 13,130.64

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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.