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Finding the Fourth Proportional to 14,351.16, 21,495.49 and 6,940

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Solution

The fourth proportional to 14,351.16, 21,495.49 and 6,940 is: 10,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.16 : 21,495.49 = 6,940 : x
  2. Step 2: Convert to fraction form
    14,351.16/21,495.49 = 6,940/x
  3. Step 3: Cross multiply
    14,351.16x = 21,495.49 × 6,940
  4. Step 4: Simplify right side
    14,351.16x = 149,178,700.60
  5. Step 5: Solve for x
    x = 149,178,700.60/14,351.16
  6. Step 6: Final answer
    x = 10,394.89

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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.