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Finding the Fourth Proportional to 12,965.20, 19,431.60 and 9,498.40

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Solution

The fourth proportional to 12,965.20, 19,431.60 and 9,498.40 is: 14,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.20 : 19,431.60 = 9,498.40 : x
  2. Step 2: Convert to fraction form
    12,965.20/19,431.60 = 9,498.40/x
  3. Step 3: Cross multiply
    12,965.20x = 19,431.60 × 9,498.40
  4. Step 4: Simplify right side
    12,965.20x = 184,569,109.44
  5. Step 5: Solve for x
    x = 184,569,109.44/12,965.20
  6. Step 6: Final answer
    x = 14,235.73

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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.