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Finding the Fourth Proportional to 1,571.93, 2,169.48 and 909.01

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Solution

The fourth proportional to 1,571.93, 2,169.48 and 909.01 is: 1,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.93 : 2,169.48 = 909.01 : x
  2. Step 2: Convert to fraction form
    1,571.93/2,169.48 = 909.01/x
  3. Step 3: Cross multiply
    1,571.93x = 2,169.48 × 909.01
  4. Step 4: Simplify right side
    1,571.93x = 1,972,079.01
  5. Step 5: Solve for x
    x = 1,972,079.01/1,571.93
  6. Step 6: Final answer
    x = 1,254.56

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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.