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Finding the Fourth Proportional to 2,835.78, 4,254.78 and 1,275.36

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Solution

The fourth proportional to 2,835.78, 4,254.78 and 1,275.36 is: 1,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.78 : 4,254.78 = 1,275.36 : x
  2. Step 2: Convert to fraction form
    2,835.78/4,254.78 = 1,275.36/x
  3. Step 3: Cross multiply
    2,835.78x = 4,254.78 × 1,275.36
  4. Step 4: Simplify right side
    2,835.78x = 5,426,376.22
  5. Step 5: Solve for x
    x = 5,426,376.22/2,835.78
  6. Step 6: Final answer
    x = 1,913.54

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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.