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Finding the Fourth Proportional to 30,969.81, 46,454.72 and 13,439.25

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Solution

The fourth proportional to 30,969.81, 46,454.72 and 13,439.25 is: 20,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.81 : 46,454.72 = 13,439.25 : x
  2. Step 2: Convert to fraction form
    30,969.81/46,454.72 = 13,439.25/x
  3. Step 3: Cross multiply
    30,969.81x = 46,454.72 × 13,439.25
  4. Step 4: Simplify right side
    30,969.81x = 624,316,528.56
  5. Step 5: Solve for x
    x = 624,316,528.56/30,969.81
  6. Step 6: Final answer
    x = 20,158.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.