Home / 2,048.14-3,070.30-748.63

Finding the Fourth Proportional to 2,048.14, 3,070.30 and 748.63

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Solution

The fourth proportional to 2,048.14, 3,070.30 and 748.63 is: 1,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.14 : 3,070.30 = 748.63 : x
  2. Step 2: Convert to fraction form
    2,048.14/3,070.30 = 748.63/x
  3. Step 3: Cross multiply
    2,048.14x = 3,070.30 × 748.63
  4. Step 4: Simplify right side
    2,048.14x = 2,298,518.69
  5. Step 5: Solve for x
    x = 2,298,518.69/2,048.14
  6. Step 6: Final answer
    x = 1,122.25

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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.