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Finding the Fourth Proportional to 30,970.40, 42,745.95 and 20,361.02

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Solution

The fourth proportional to 30,970.40, 42,745.95 and 20,361.02 is: 28,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.40 : 42,745.95 = 20,361.02 : x
  2. Step 2: Convert to fraction form
    30,970.40/42,745.95 = 20,361.02/x
  3. Step 3: Cross multiply
    30,970.40x = 42,745.95 × 20,361.02
  4. Step 4: Simplify right side
    30,970.40x = 870,350,929.14
  5. Step 5: Solve for x
    x = 870,350,929.14/30,970.40
  6. Step 6: Final answer
    x = 28,102.67

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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.