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Finding the Fourth Proportional to 2,508.40, 3,756 and 2,015.86

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Solution

The fourth proportional to 2,508.40, 3,756 and 2,015.86 is: 3,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.40 : 3,756 = 2,015.86 : x
  2. Step 2: Convert to fraction form
    2,508.40/3,756 = 2,015.86/x
  3. Step 3: Cross multiply
    2,508.40x = 3,756 × 2,015.86
  4. Step 4: Simplify right side
    2,508.40x = 7,571,570.16
  5. Step 5: Solve for x
    x = 7,571,570.16/2,508.40
  6. Step 6: Final answer
    x = 3,018.49

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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.