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Finding the Fourth Proportional to 8,410.98, 12,619.02 and 2,567.64

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Solution

The fourth proportional to 8,410.98, 12,619.02 and 2,567.64 is: 3,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.98 : 12,619.02 = 2,567.64 : x
  2. Step 2: Convert to fraction form
    8,410.98/12,619.02 = 2,567.64/x
  3. Step 3: Cross multiply
    8,410.98x = 12,619.02 × 2,567.64
  4. Step 4: Simplify right side
    8,410.98x = 32,401,100.51
  5. Step 5: Solve for x
    x = 32,401,100.51/8,410.98
  6. Step 6: Final answer
    x = 3,852.24

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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.