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Finding the Fourth Proportional to 8,504.40, 11,734.56 and 4,778.40

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Solution

The fourth proportional to 8,504.40, 11,734.56 and 4,778.40 is: 6,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.40 : 11,734.56 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    8,504.40/11,734.56 = 4,778.40/x
  3. Step 3: Cross multiply
    8,504.40x = 11,734.56 × 4,778.40
  4. Step 4: Simplify right side
    8,504.40x = 56,072,421.50
  5. Step 5: Solve for x
    x = 56,072,421.50/8,504.40
  6. Step 6: Final answer
    x = 6,593.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.