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Finding the Fourth Proportional to 19,216, 28,824 and 5,364.96

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Solution

The fourth proportional to 19,216, 28,824 and 5,364.96 is: 8,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 28,824 = 5,364.96 : x
  2. Step 2: Convert to fraction form
    19,216/28,824 = 5,364.96/x
  3. Step 3: Cross multiply
    19,216x = 28,824 × 5,364.96
  4. Step 4: Simplify right side
    19,216x = 154,639,607.04
  5. Step 5: Solve for x
    x = 154,639,607.04/19,216
  6. Step 6: Final answer
    x = 8,047.44

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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.