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Finding the Fourth Proportional to 21,564, 32,346 and 6,972

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Solution

The fourth proportional to 21,564, 32,346 and 6,972 is: 10,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564 : 32,346 = 6,972 : x
  2. Step 2: Convert to fraction form
    21,564/32,346 = 6,972/x
  3. Step 3: Cross multiply
    21,564x = 32,346 × 6,972
  4. Step 4: Simplify right side
    21,564x = 225,516,312
  5. Step 5: Solve for x
    x = 225,516,312/21,564
  6. Step 6: Final answer
    x = 10,458

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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.