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Finding the Fourth Proportional to 5,716, 8,574.80 and 2,018.72

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Solution

The fourth proportional to 5,716, 8,574.80 and 2,018.72 is: 3,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716 : 8,574.80 = 2,018.72 : x
  2. Step 2: Convert to fraction form
    5,716/8,574.80 = 2,018.72/x
  3. Step 3: Cross multiply
    5,716x = 8,574.80 × 2,018.72
  4. Step 4: Simplify right side
    5,716x = 17,310,120.26
  5. Step 5: Solve for x
    x = 17,310,120.26/5,716
  6. Step 6: Final answer
    x = 3,028.36

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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.