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Finding the Fourth Proportional to 13,980.02, 20,970 and 9,584.15

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Solution

The fourth proportional to 13,980.02, 20,970 and 9,584.15 is: 14,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.02 : 20,970 = 9,584.15 : x
  2. Step 2: Convert to fraction form
    13,980.02/20,970 = 9,584.15/x
  3. Step 3: Cross multiply
    13,980.02x = 20,970 × 9,584.15
  4. Step 4: Simplify right side
    13,980.02x = 200,979,520.65
  5. Step 5: Solve for x
    x = 200,979,520.65/13,980.02
  6. Step 6: Final answer
    x = 14,376.20

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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.