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Finding the Fourth Proportional to 1,293.25, 1,947.47 and 930.56

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Solution

The fourth proportional to 1,293.25, 1,947.47 and 930.56 is: 1,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.25 : 1,947.47 = 930.56 : x
  2. Step 2: Convert to fraction form
    1,293.25/1,947.47 = 930.56/x
  3. Step 3: Cross multiply
    1,293.25x = 1,947.47 × 930.56
  4. Step 4: Simplify right side
    1,293.25x = 1,812,237.68
  5. Step 5: Solve for x
    x = 1,812,237.68/1,293.25
  6. Step 6: Final answer
    x = 1,401.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.