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Finding the Fourth Proportional to 2,557.18, 3,835.52 and 913.58

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Solution

The fourth proportional to 2,557.18, 3,835.52 and 913.58 is: 1,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.18 : 3,835.52 = 913.58 : x
  2. Step 2: Convert to fraction form
    2,557.18/3,835.52 = 913.58/x
  3. Step 3: Cross multiply
    2,557.18x = 3,835.52 × 913.58
  4. Step 4: Simplify right side
    2,557.18x = 3,504,054.36
  5. Step 5: Solve for x
    x = 3,504,054.36/2,557.18
  6. Step 6: Final answer
    x = 1,370.28

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1.5x scale

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.