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Finding the Fourth Proportional to 30,991, 42,880.20 and 27,020.40

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Solution

The fourth proportional to 30,991, 42,880.20 and 27,020.40 is: 37,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991 : 42,880.20 = 27,020.40 : x
  2. Step 2: Convert to fraction form
    30,991/42,880.20 = 27,020.40/x
  3. Step 3: Cross multiply
    30,991x = 42,880.20 × 27,020.40
  4. Step 4: Simplify right side
    30,991x = 1,158,640,156.08
  5. Step 5: Solve for x
    x = 1,158,640,156.08/30,991
  6. Step 6: Final answer
    x = 37,386.34

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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.