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Finding the Fourth Proportional to 30,969.63, 42,738.20 and 18,223.30

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Solution

The fourth proportional to 30,969.63, 42,738.20 and 18,223.30 is: 25,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.63 : 42,738.20 = 18,223.30 : x
  2. Step 2: Convert to fraction form
    30,969.63/42,738.20 = 18,223.30/x
  3. Step 3: Cross multiply
    30,969.63x = 42,738.20 × 18,223.30
  4. Step 4: Simplify right side
    30,969.63x = 778,831,040.06
  5. Step 5: Solve for x
    x = 778,831,040.06/30,969.63
  6. Step 6: Final answer
    x = 25,148.22

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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.