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Finding the Fourth Proportional to 9,786.26, 14,672.10 and 6,658.40

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Solution

The fourth proportional to 9,786.26, 14,672.10 and 6,658.40 is: 9,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.26 : 14,672.10 = 6,658.40 : x
  2. Step 2: Convert to fraction form
    9,786.26/14,672.10 = 6,658.40/x
  3. Step 3: Cross multiply
    9,786.26x = 14,672.10 × 6,658.40
  4. Step 4: Simplify right side
    9,786.26x = 97,692,710.64
  5. Step 5: Solve for x
    x = 97,692,710.64/9,786.26
  6. Step 6: Final answer
    x = 9,982.64

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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.