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Finding the Fourth Proportional to 12,963.10, 19,415.85 and 10,659.10

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Solution

The fourth proportional to 12,963.10, 19,415.85 and 10,659.10 is: 15,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.10 : 19,415.85 = 10,659.10 : x
  2. Step 2: Convert to fraction form
    12,963.10/19,415.85 = 10,659.10/x
  3. Step 3: Cross multiply
    12,963.10x = 19,415.85 × 10,659.10
  4. Step 4: Simplify right side
    12,963.10x = 206,955,486.74
  5. Step 5: Solve for x
    x = 206,955,486.74/12,963.10
  6. Step 6: Final answer
    x = 15,964.97

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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.