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Finding the Fourth Proportional to 12,954.60, 19,431.90 and 9,628.20

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Solution

The fourth proportional to 12,954.60, 19,431.90 and 9,628.20 is: 14,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.60 : 19,431.90 = 9,628.20 : x
  2. Step 2: Convert to fraction form
    12,954.60/19,431.90 = 9,628.20/x
  3. Step 3: Cross multiply
    12,954.60x = 19,431.90 × 9,628.20
  4. Step 4: Simplify right side
    12,954.60x = 187,094,219.58
  5. Step 5: Solve for x
    x = 187,094,219.58/12,954.60
  6. Step 6: Final answer
    x = 14,442.30

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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.