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Finding the Fourth Proportional to 1,313.72, 1,971.12 and 1,293.00

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Solution

The fourth proportional to 1,313.72, 1,971.12 and 1,293.00 is: 1,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.72 : 1,971.12 = 1,293.00 : x
  2. Step 2: Convert to fraction form
    1,313.72/1,971.12 = 1,293.00/x
  3. Step 3: Cross multiply
    1,313.72x = 1,971.12 × 1,293.00
  4. Step 4: Simplify right side
    1,313.72x = 2,548,648.34
  5. Step 5: Solve for x
    x = 2,548,648.34/1,313.72
  6. Step 6: Final answer
    x = 1,940.02

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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.