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Finding the Fourth Proportional to 2,048.58, 3,071.64 and 816.18

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Solution

The fourth proportional to 2,048.58, 3,071.64 and 816.18 is: 1,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.58 : 3,071.64 = 816.18 : x
  2. Step 2: Convert to fraction form
    2,048.58/3,071.64 = 816.18/x
  3. Step 3: Cross multiply
    2,048.58x = 3,071.64 × 816.18
  4. Step 4: Simplify right side
    2,048.58x = 2,507,011.14
  5. Step 5: Solve for x
    x = 2,507,011.14/2,048.58
  6. Step 6: Final answer
    x = 1,223.78

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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.