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Finding the Fourth Proportional to 1,883.58, 2,822.94 and 909.16

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Solution

The fourth proportional to 1,883.58, 2,822.94 and 909.16 is: 1,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.58 : 2,822.94 = 909.16 : x
  2. Step 2: Convert to fraction form
    1,883.58/2,822.94 = 909.16/x
  3. Step 3: Cross multiply
    1,883.58x = 2,822.94 × 909.16
  4. Step 4: Simplify right side
    1,883.58x = 2,566,504.13
  5. Step 5: Solve for x
    x = 2,566,504.13/1,883.58
  6. Step 6: Final answer
    x = 1,362.57

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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.