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Finding the Fourth Proportional to 8,649.70, 12,973.26 and 2,409.06

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Solution

The fourth proportional to 8,649.70, 12,973.26 and 2,409.06 is: 3,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.70 : 12,973.26 = 2,409.06 : x
  2. Step 2: Convert to fraction form
    8,649.70/12,973.26 = 2,409.06/x
  3. Step 3: Cross multiply
    8,649.70x = 12,973.26 × 2,409.06
  4. Step 4: Simplify right side
    8,649.70x = 31,253,361.74
  5. Step 5: Solve for x
    x = 31,253,361.74/8,649.70
  6. Step 6: Final answer
    x = 3,613.23

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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.