Home / 1,583.76-2,384.20-1,425

Finding the Fourth Proportional to 1,583.76, 2,384.20 and 1,425

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Solution

The fourth proportional to 1,583.76, 2,384.20 and 1,425 is: 2,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.76 : 2,384.20 = 1,425 : x
  2. Step 2: Convert to fraction form
    1,583.76/2,384.20 = 1,425/x
  3. Step 3: Cross multiply
    1,583.76x = 2,384.20 × 1,425
  4. Step 4: Simplify right side
    1,583.76x = 3,397,485.00
  5. Step 5: Solve for x
    x = 3,397,485.00/1,583.76
  6. Step 6: Final answer
    x = 2,145.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.