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Finding the Fourth Proportional to 19,207, 28,815.36 and 5,356

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Solution

The fourth proportional to 19,207, 28,815.36 and 5,356 is: 8,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207 : 28,815.36 = 5,356 : x
  2. Step 2: Convert to fraction form
    19,207/28,815.36 = 5,356/x
  3. Step 3: Cross multiply
    19,207x = 28,815.36 × 5,356
  4. Step 4: Simplify right side
    19,207x = 154,335,068.16
  5. Step 5: Solve for x
    x = 154,335,068.16/19,207
  6. Step 6: Final answer
    x = 8,035.36

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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.