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Finding the Fourth Proportional to 1,924.93, 2,887.49 and 828.19

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Solution

The fourth proportional to 1,924.93, 2,887.49 and 828.19 is: 1,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.93 : 2,887.49 = 828.19 : x
  2. Step 2: Convert to fraction form
    1,924.93/2,887.49 = 828.19/x
  3. Step 3: Cross multiply
    1,924.93x = 2,887.49 × 828.19
  4. Step 4: Simplify right side
    1,924.93x = 2,391,390.34
  5. Step 5: Solve for x
    x = 2,391,390.34/1,924.93
  6. Step 6: Final answer
    x = 1,242.33

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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.