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Finding the Fourth Proportional to 9,700.21, 13,379.88 and 8,962.03

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Solution

The fourth proportional to 9,700.21, 13,379.88 and 8,962.03 is: 12,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.21 : 13,379.88 = 8,962.03 : x
  2. Step 2: Convert to fraction form
    9,700.21/13,379.88 = 8,962.03/x
  3. Step 3: Cross multiply
    9,700.21x = 13,379.88 × 8,962.03
  4. Step 4: Simplify right side
    9,700.21x = 119,910,885.96
  5. Step 5: Solve for x
    x = 119,910,885.96/9,700.21
  6. Step 6: Final answer
    x = 12,361.68

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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.