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Finding the Fourth Proportional to 1,386.54, 1,912.74 and 944.70

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Solution

The fourth proportional to 1,386.54, 1,912.74 and 944.70 is: 1,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.54 : 1,912.74 = 944.70 : x
  2. Step 2: Convert to fraction form
    1,386.54/1,912.74 = 944.70/x
  3. Step 3: Cross multiply
    1,386.54x = 1,912.74 × 944.70
  4. Step 4: Simplify right side
    1,386.54x = 1,806,965.48
  5. Step 5: Solve for x
    x = 1,806,965.48/1,386.54
  6. Step 6: Final answer
    x = 1,303.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.