Home / 1,484.20-2,048.14-812.02

Finding the Fourth Proportional to 1,484.20, 2,048.14 and 812.02

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Solution

The fourth proportional to 1,484.20, 2,048.14 and 812.02 is: 1,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.20 : 2,048.14 = 812.02 : x
  2. Step 2: Convert to fraction form
    1,484.20/2,048.14 = 812.02/x
  3. Step 3: Cross multiply
    1,484.20x = 2,048.14 × 812.02
  4. Step 4: Simplify right side
    1,484.20x = 1,663,130.64
  5. Step 5: Solve for x
    x = 1,663,130.64/1,484.20
  6. Step 6: Final answer
    x = 1,120.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.