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Finding the Fourth Proportional to 7,051.76, 10,578.16 and 1,857.52

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Solution

The fourth proportional to 7,051.76, 10,578.16 and 1,857.52 is: 2,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.76 : 10,578.16 = 1,857.52 : x
  2. Step 2: Convert to fraction form
    7,051.76/10,578.16 = 1,857.52/x
  3. Step 3: Cross multiply
    7,051.76x = 10,578.16 × 1,857.52
  4. Step 4: Simplify right side
    7,051.76x = 19,649,143.76
  5. Step 5: Solve for x
    x = 19,649,143.76/7,051.76
  6. Step 6: Final answer
    x = 2,786.42

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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.