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Finding the Fourth Proportional to 1,571.90, 2,169.53 and 1,040.80

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Solution

The fourth proportional to 1,571.90, 2,169.53 and 1,040.80 is: 1,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.90 : 2,169.53 = 1,040.80 : x
  2. Step 2: Convert to fraction form
    1,571.90/2,169.53 = 1,040.80/x
  3. Step 3: Cross multiply
    1,571.90x = 2,169.53 × 1,040.80
  4. Step 4: Simplify right side
    1,571.90x = 2,258,040.10
  5. Step 5: Solve for x
    x = 2,258,040.10/1,571.90
  6. Step 6: Final answer
    x = 1,436.50

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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.