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Finding the Fourth Proportional to 2,678.76, 4,018.02 and 1,035.24

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Solution

The fourth proportional to 2,678.76, 4,018.02 and 1,035.24 is: 1,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.76 : 4,018.02 = 1,035.24 : x
  2. Step 2: Convert to fraction form
    2,678.76/4,018.02 = 1,035.24/x
  3. Step 3: Cross multiply
    2,678.76x = 4,018.02 × 1,035.24
  4. Step 4: Simplify right side
    2,678.76x = 4,159,615.02
  5. Step 5: Solve for x
    x = 4,159,615.02/2,678.76
  6. Step 6: Final answer
    x = 1,552.81

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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.