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Finding the Fourth Proportional to 13,014.81, 17,964.99 and 8,298.18

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Solution

The fourth proportional to 13,014.81, 17,964.99 and 8,298.18 is: 11,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.81 : 17,964.99 = 8,298.18 : x
  2. Step 2: Convert to fraction form
    13,014.81/17,964.99 = 8,298.18/x
  3. Step 3: Cross multiply
    13,014.81x = 17,964.99 × 8,298.18
  4. Step 4: Simplify right side
    13,014.81x = 149,076,720.72
  5. Step 5: Solve for x
    x = 149,076,720.72/13,014.81
  6. Step 6: Final answer
    x = 11,454.39

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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.