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Finding the Fourth Proportional to 1,878.37, 2,816.87 and 837.34

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Solution

The fourth proportional to 1,878.37, 2,816.87 and 837.34 is: 1,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.37 : 2,816.87 = 837.34 : x
  2. Step 2: Convert to fraction form
    1,878.37/2,816.87 = 837.34/x
  3. Step 3: Cross multiply
    1,878.37x = 2,816.87 × 837.34
  4. Step 4: Simplify right side
    1,878.37x = 2,358,666.70
  5. Step 5: Solve for x
    x = 2,358,666.70/1,878.37
  6. Step 6: Final answer
    x = 1,255.70

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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.