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Finding the Fourth Proportional to 14,536.40, 21,807.70 and 8,299.40

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Solution

The fourth proportional to 14,536.40, 21,807.70 and 8,299.40 is: 12,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.40 : 21,807.70 = 8,299.40 : x
  2. Step 2: Convert to fraction form
    14,536.40/21,807.70 = 8,299.40/x
  3. Step 3: Cross multiply
    14,536.40x = 21,807.70 × 8,299.40
  4. Step 4: Simplify right side
    14,536.40x = 180,990,825.38
  5. Step 5: Solve for x
    x = 180,990,825.38/14,536.40
  6. Step 6: Final answer
    x = 12,450.87

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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.