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Finding the Fourth Proportional to 13,993.61, 20,970.06 and 8,980.25

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Solution

The fourth proportional to 13,993.61, 20,970.06 and 8,980.25 is: 13,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.61 : 20,970.06 = 8,980.25 : x
  2. Step 2: Convert to fraction form
    13,993.61/20,970.06 = 8,980.25/x
  3. Step 3: Cross multiply
    13,993.61x = 20,970.06 × 8,980.25
  4. Step 4: Simplify right side
    13,993.61x = 188,316,524.98
  5. Step 5: Solve for x
    x = 188,316,524.98/13,993.61
  6. Step 6: Final answer
    x = 13,457.32

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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.