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Finding the Fourth Proportional to 14,210, 21,322.68 and 6,914

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Solution

The fourth proportional to 14,210, 21,322.68 and 6,914 is: 10,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210 : 21,322.68 = 6,914 : x
  2. Step 2: Convert to fraction form
    14,210/21,322.68 = 6,914/x
  3. Step 3: Cross multiply
    14,210x = 21,322.68 × 6,914
  4. Step 4: Simplify right side
    14,210x = 147,425,009.52
  5. Step 5: Solve for x
    x = 147,425,009.52/14,210
  6. Step 6: Final answer
    x = 10,374.74

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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.