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Finding the Fourth Proportional to 5,007.76, 7,509.84 and 1,719.97

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Solution

The fourth proportional to 5,007.76, 7,509.84 and 1,719.97 is: 2,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.76 : 7,509.84 = 1,719.97 : x
  2. Step 2: Convert to fraction form
    5,007.76/7,509.84 = 1,719.97/x
  3. Step 3: Cross multiply
    5,007.76x = 7,509.84 × 1,719.97
  4. Step 4: Simplify right side
    5,007.76x = 12,916,699.50
  5. Step 5: Solve for x
    x = 12,916,699.50/5,007.76
  6. Step 6: Final answer
    x = 2,579.34

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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.