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Finding the Fourth Proportional to 1,853.74, 2,778.20 and 1,657.60

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Solution

The fourth proportional to 1,853.74, 2,778.20 and 1,657.60 is: 2,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.74 : 2,778.20 = 1,657.60 : x
  2. Step 2: Convert to fraction form
    1,853.74/2,778.20 = 1,657.60/x
  3. Step 3: Cross multiply
    1,853.74x = 2,778.20 × 1,657.60
  4. Step 4: Simplify right side
    1,853.74x = 4,605,144.32
  5. Step 5: Solve for x
    x = 4,605,144.32/1,853.74
  6. Step 6: Final answer
    x = 2,484.24

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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.