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Finding the Fourth Proportional to 18,142.78, 25,014.80 and 12,466.30

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Solution

The fourth proportional to 18,142.78, 25,014.80 and 12,466.30 is: 17,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.78 : 25,014.80 = 12,466.30 : x
  2. Step 2: Convert to fraction form
    18,142.78/25,014.80 = 12,466.30/x
  3. Step 3: Cross multiply
    18,142.78x = 25,014.80 × 12,466.30
  4. Step 4: Simplify right side
    18,142.78x = 311,842,001.24
  5. Step 5: Solve for x
    x = 311,842,001.24/18,142.78
  6. Step 6: Final answer
    x = 17,188.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.