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Finding the Fourth Proportional to 8,416.56, 12,623.84 and 2,577.20

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Solution

The fourth proportional to 8,416.56, 12,623.84 and 2,577.20 is: 3,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.56 : 12,623.84 = 2,577.20 : x
  2. Step 2: Convert to fraction form
    8,416.56/12,623.84 = 2,577.20/x
  3. Step 3: Cross multiply
    8,416.56x = 12,623.84 × 2,577.20
  4. Step 4: Simplify right side
    8,416.56x = 32,534,160.45
  5. Step 5: Solve for x
    x = 32,534,160.45/8,416.56
  6. Step 6: Final answer
    x = 3,865.49

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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.