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Finding the Fourth Proportional to 1,313.55, 1,993.14 and 1,313.55

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Solution

The fourth proportional to 1,313.55, 1,993.14 and 1,313.55 is: 1,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.55 : 1,993.14 = 1,313.55 : x
  2. Step 2: Convert to fraction form
    1,313.55/1,993.14 = 1,313.55/x
  3. Step 3: Cross multiply
    1,313.55x = 1,993.14 × 1,313.55
  4. Step 4: Simplify right side
    1,313.55x = 2,618,089.05
  5. Step 5: Solve for x
    x = 2,618,089.05/1,313.55
  6. Step 6: Final answer
    x = 1,993.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.