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Finding the Fourth Proportional to 21,506, 32,259 and 6,914

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Solution

The fourth proportional to 21,506, 32,259 and 6,914 is: 10,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506 : 32,259 = 6,914 : x
  2. Step 2: Convert to fraction form
    21,506/32,259 = 6,914/x
  3. Step 3: Cross multiply
    21,506x = 32,259 × 6,914
  4. Step 4: Simplify right side
    21,506x = 223,038,726
  5. Step 5: Solve for x
    x = 223,038,726/21,506
  6. Step 6: Final answer
    x = 10,371

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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.