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Finding the Fourth Proportional to 30,893.40, 46,342.06 and 10,900.40

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Solution

The fourth proportional to 30,893.40, 46,342.06 and 10,900.40 is: 16,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.40 : 46,342.06 = 10,900.40 : x
  2. Step 2: Convert to fraction form
    30,893.40/46,342.06 = 10,900.40/x
  3. Step 3: Cross multiply
    30,893.40x = 46,342.06 × 10,900.40
  4. Step 4: Simplify right side
    30,893.40x = 505,146,990.82
  5. Step 5: Solve for x
    x = 505,146,990.82/30,893.40
  6. Step 6: Final answer
    x = 16,351.29

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1.5x scale

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.