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Finding the Fourth Proportional to 8,771.63, 13,157.64 and 3,577.50

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Solution

The fourth proportional to 8,771.63, 13,157.64 and 3,577.50 is: 5,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.63 : 13,157.64 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    8,771.63/13,157.64 = 3,577.50/x
  3. Step 3: Cross multiply
    8,771.63x = 13,157.64 × 3,577.50
  4. Step 4: Simplify right side
    8,771.63x = 47,071,457.10
  5. Step 5: Solve for x
    x = 47,071,457.10/8,771.63
  6. Step 6: Final answer
    x = 5,366.33

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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.