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Finding the Fourth Proportional to 1,317.22, 1,975.90 and 1,123.57

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Solution

The fourth proportional to 1,317.22, 1,975.90 and 1,123.57 is: 1,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.22 : 1,975.90 = 1,123.57 : x
  2. Step 2: Convert to fraction form
    1,317.22/1,975.90 = 1,123.57/x
  3. Step 3: Cross multiply
    1,317.22x = 1,975.90 × 1,123.57
  4. Step 4: Simplify right side
    1,317.22x = 2,220,061.96
  5. Step 5: Solve for x
    x = 2,220,061.96/1,317.22
  6. Step 6: Final answer
    x = 1,685.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.