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Finding the Fourth Proportional to 1,856.25, 2,783.66 and 816.30

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Solution

The fourth proportional to 1,856.25, 2,783.66 and 816.30 is: 1,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.25 : 2,783.66 = 816.30 : x
  2. Step 2: Convert to fraction form
    1,856.25/2,783.66 = 816.30/x
  3. Step 3: Cross multiply
    1,856.25x = 2,783.66 × 816.30
  4. Step 4: Simplify right side
    1,856.25x = 2,272,297.58
  5. Step 5: Solve for x
    x = 2,272,297.58/1,856.25
  6. Step 6: Final answer
    x = 1,224.13

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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.