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Finding the Fourth Proportional to 30,801.60, 42,505.56 and 18,230.40

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Solution

The fourth proportional to 30,801.60, 42,505.56 and 18,230.40 is: 25,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.60 : 42,505.56 = 18,230.40 : x
  2. Step 2: Convert to fraction form
    30,801.60/42,505.56 = 18,230.40/x
  3. Step 3: Cross multiply
    30,801.60x = 42,505.56 × 18,230.40
  4. Step 4: Simplify right side
    30,801.60x = 774,893,361.02
  5. Step 5: Solve for x
    x = 774,893,361.02/30,801.60
  6. Step 6: Final answer
    x = 25,157.57

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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.