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Finding the Fourth Proportional to 12,965.40, 19,448.10 and 4,201.20

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Solution

The fourth proportional to 12,965.40, 19,448.10 and 4,201.20 is: 6,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.40 : 19,448.10 = 4,201.20 : x
  2. Step 2: Convert to fraction form
    12,965.40/19,448.10 = 4,201.20/x
  3. Step 3: Cross multiply
    12,965.40x = 19,448.10 × 4,201.20
  4. Step 4: Simplify right side
    12,965.40x = 81,705,357.72
  5. Step 5: Solve for x
    x = 81,705,357.72/12,965.40
  6. Step 6: Final answer
    x = 6,301.80

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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.