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Finding the Fourth Proportional to 21,398.76, 32,099.76 and 5,816.16

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Solution

The fourth proportional to 21,398.76, 32,099.76 and 5,816.16 is: 8,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.76 : 32,099.76 = 5,816.16 : x
  2. Step 2: Convert to fraction form
    21,398.76/32,099.76 = 5,816.16/x
  3. Step 3: Cross multiply
    21,398.76x = 32,099.76 × 5,816.16
  4. Step 4: Simplify right side
    21,398.76x = 186,697,340.12
  5. Step 5: Solve for x
    x = 186,697,340.12/21,398.76
  6. Step 6: Final answer
    x = 8,724.68

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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.