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Finding the Fourth Proportional to 12,410.90, 18,611.43 and 9,783.46

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Solution

The fourth proportional to 12,410.90, 18,611.43 and 9,783.46 is: 14,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.90 : 18,611.43 = 9,783.46 : x
  2. Step 2: Convert to fraction form
    12,410.90/18,611.43 = 9,783.46/x
  3. Step 3: Cross multiply
    12,410.90x = 18,611.43 × 9,783.46
  4. Step 4: Simplify right side
    12,410.90x = 182,084,087.89
  5. Step 5: Solve for x
    x = 182,084,087.89/12,410.90
  6. Step 6: Final answer
    x = 14,671.30

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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.