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Finding the Fourth Proportional to 5,609.98, 8,407.68 and 5,522.50

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Solution

The fourth proportional to 5,609.98, 8,407.68 and 5,522.50 is: 8,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.98 : 8,407.68 = 5,522.50 : x
  2. Step 2: Convert to fraction form
    5,609.98/8,407.68 = 5,522.50/x
  3. Step 3: Cross multiply
    5,609.98x = 8,407.68 × 5,522.50
  4. Step 4: Simplify right side
    5,609.98x = 46,431,412.80
  5. Step 5: Solve for x
    x = 46,431,412.80/5,609.98
  6. Step 6: Final answer
    x = 8,276.57

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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.