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Finding the Fourth Proportional to 1,825.89, 2,520 and 1,040.40

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Solution

The fourth proportional to 1,825.89, 2,520 and 1,040.40 is: 1,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.89 : 2,520 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    1,825.89/2,520 = 1,040.40/x
  3. Step 3: Cross multiply
    1,825.89x = 2,520 × 1,040.40
  4. Step 4: Simplify right side
    1,825.89x = 2,621,808
  5. Step 5: Solve for x
    x = 2,621,808/1,825.89
  6. Step 6: Final answer
    x = 1,435.91

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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.