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Finding the Fourth Proportional to 1,573, 2,169.94 and 909.45

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Solution

The fourth proportional to 1,573, 2,169.94 and 909.45 is: 1,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573 : 2,169.94 = 909.45 : x
  2. Step 2: Convert to fraction form
    1,573/2,169.94 = 909.45/x
  3. Step 3: Cross multiply
    1,573x = 2,169.94 × 909.45
  4. Step 4: Simplify right side
    1,573x = 1,973,451.93
  5. Step 5: Solve for x
    x = 1,973,451.93/1,573
  6. Step 6: Final answer
    x = 1,254.58

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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.