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Finding the Fourth Proportional to 9,963.88, 13,650.58 and 9,590.20

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Solution

The fourth proportional to 9,963.88, 13,650.58 and 9,590.20 is: 13,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.88 : 13,650.58 = 9,590.20 : x
  2. Step 2: Convert to fraction form
    9,963.88/13,650.58 = 9,590.20/x
  3. Step 3: Cross multiply
    9,963.88x = 13,650.58 × 9,590.20
  4. Step 4: Simplify right side
    9,963.88x = 130,911,744.37
  5. Step 5: Solve for x
    x = 130,911,744.37/9,963.88
  6. Step 6: Final answer
    x = 13,138.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.