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Finding the Fourth Proportional to 9,963.90, 13,746.78 and 6,185.72

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Solution

The fourth proportional to 9,963.90, 13,746.78 and 6,185.72 is: 8,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.90 : 13,746.78 = 6,185.72 : x
  2. Step 2: Convert to fraction form
    9,963.90/13,746.78 = 6,185.72/x
  3. Step 3: Cross multiply
    9,963.90x = 13,746.78 × 6,185.72
  4. Step 4: Simplify right side
    9,963.90x = 85,033,731.98
  5. Step 5: Solve for x
    x = 85,033,731.98/9,963.90
  6. Step 6: Final answer
    x = 8,534.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.