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Finding the Fourth Proportional to 2,583.19, 3,875.02 and 828.24

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Solution

The fourth proportional to 2,583.19, 3,875.02 and 828.24 is: 1,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.19 : 3,875.02 = 828.24 : x
  2. Step 2: Convert to fraction form
    2,583.19/3,875.02 = 828.24/x
  3. Step 3: Cross multiply
    2,583.19x = 3,875.02 × 828.24
  4. Step 4: Simplify right side
    2,583.19x = 3,209,446.56
  5. Step 5: Solve for x
    x = 3,209,446.56/2,583.19
  6. Step 6: Final answer
    x = 1,242.44

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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.