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Finding the Fourth Proportional to 1,293.37, 1,947.64 and 930.70

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Solution

The fourth proportional to 1,293.37, 1,947.64 and 930.70 is: 1,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.37 : 1,947.64 = 930.70 : x
  2. Step 2: Convert to fraction form
    1,293.37/1,947.64 = 930.70/x
  3. Step 3: Cross multiply
    1,293.37x = 1,947.64 × 930.70
  4. Step 4: Simplify right side
    1,293.37x = 1,812,668.55
  5. Step 5: Solve for x
    x = 1,812,668.55/1,293.37
  6. Step 6: Final answer
    x = 1,401.51

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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.