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Finding the Fourth Proportional to 10,915.67, 16,384.96 and 9,674.21

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Solution

The fourth proportional to 10,915.67, 16,384.96 and 9,674.21 is: 14,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.67 : 16,384.96 = 9,674.21 : x
  2. Step 2: Convert to fraction form
    10,915.67/16,384.96 = 9,674.21/x
  3. Step 3: Cross multiply
    10,915.67x = 16,384.96 × 9,674.21
  4. Step 4: Simplify right side
    10,915.67x = 158,511,499.21
  5. Step 5: Solve for x
    x = 158,511,499.21/10,915.67
  6. Step 6: Final answer
    x = 14,521.46

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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.