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Finding the Fourth Proportional to 14,000.38, 21,000.42 and 5,678.42

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Solution

The fourth proportional to 14,000.38, 21,000.42 and 5,678.42 is: 8,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.38 : 21,000.42 = 5,678.42 : x
  2. Step 2: Convert to fraction form
    14,000.38/21,000.42 = 5,678.42/x
  3. Step 3: Cross multiply
    14,000.38x = 21,000.42 × 5,678.42
  4. Step 4: Simplify right side
    14,000.38x = 119,249,204.94
  5. Step 5: Solve for x
    x = 119,249,204.94/14,000.38
  6. Step 6: Final answer
    x = 8,517.57

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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.