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Finding the Fourth Proportional to 21,362, 32,047.12 and 6,568.28

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Solution

The fourth proportional to 21,362, 32,047.12 and 6,568.28 is: 9,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362 : 32,047.12 = 6,568.28 : x
  2. Step 2: Convert to fraction form
    21,362/32,047.12 = 6,568.28/x
  3. Step 3: Cross multiply
    21,362x = 32,047.12 × 6,568.28
  4. Step 4: Simplify right side
    21,362x = 210,494,457.35
  5. Step 5: Solve for x
    x = 210,494,457.35/21,362
  6. Step 6: Final answer
    x = 9,853.69

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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.