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Finding the Fourth Proportional to 8,584.98, 12,808.41 and 7,649.40

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Solution

The fourth proportional to 8,584.98, 12,808.41 and 7,649.40 is: 11,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.98 : 12,808.41 = 7,649.40 : x
  2. Step 2: Convert to fraction form
    8,584.98/12,808.41 = 7,649.40/x
  3. Step 3: Cross multiply
    8,584.98x = 12,808.41 × 7,649.40
  4. Step 4: Simplify right side
    8,584.98x = 97,976,651.45
  5. Step 5: Solve for x
    x = 97,976,651.45/8,584.98
  6. Step 6: Final answer
    x = 11,412.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.