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Finding the Fourth Proportional to 21,564.80, 32,347.20 and 6,775

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Solution

The fourth proportional to 21,564.80, 32,347.20 and 6,775 is: 10,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.80 : 32,347.20 = 6,775 : x
  2. Step 2: Convert to fraction form
    21,564.80/32,347.20 = 6,775/x
  3. Step 3: Cross multiply
    21,564.80x = 32,347.20 × 6,775
  4. Step 4: Simplify right side
    21,564.80x = 219,152,280
  5. Step 5: Solve for x
    x = 219,152,280/21,564.80
  6. Step 6: Final answer
    x = 10,162.50

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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.