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Finding the Fourth Proportional to 13,101.64, 18,074.92 and 8,064.34

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Solution

The fourth proportional to 13,101.64, 18,074.92 and 8,064.34 is: 11,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.64 : 18,074.92 = 8,064.34 : x
  2. Step 2: Convert to fraction form
    13,101.64/18,074.92 = 8,064.34/x
  3. Step 3: Cross multiply
    13,101.64x = 18,074.92 × 8,064.34
  4. Step 4: Simplify right side
    13,101.64x = 145,762,300.35
  5. Step 5: Solve for x
    x = 145,762,300.35/13,101.64
  6. Step 6: Final answer
    x = 11,125.50

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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.