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Finding the Fourth Proportional to 9,797.79, 13,517.62 and 6,440.34

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Solution

The fourth proportional to 9,797.79, 13,517.62 and 6,440.34 is: 8,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.79 : 13,517.62 = 6,440.34 : x
  2. Step 2: Convert to fraction form
    9,797.79/13,517.62 = 6,440.34/x
  3. Step 3: Cross multiply
    9,797.79x = 13,517.62 × 6,440.34
  4. Step 4: Simplify right side
    9,797.79x = 87,058,068.79
  5. Step 5: Solve for x
    x = 87,058,068.79/9,797.79
  6. Step 6: Final answer
    x = 8,885.48

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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.