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Finding the Fourth Proportional to 9,885.97, 13,643.88 and 6,485.86

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Solution

The fourth proportional to 9,885.97, 13,643.88 and 6,485.86 is: 8,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.97 : 13,643.88 = 6,485.86 : x
  2. Step 2: Convert to fraction form
    9,885.97/13,643.88 = 6,485.86/x
  3. Step 3: Cross multiply
    9,885.97x = 13,643.88 × 6,485.86
  4. Step 4: Simplify right side
    9,885.97x = 88,492,295.54
  5. Step 5: Solve for x
    x = 88,492,295.54/9,885.97
  6. Step 6: Final answer
    x = 8,951.30

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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.