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Finding the Fourth Proportional to 7,811.78, 10,779.50 and 4,454.34

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Solution

The fourth proportional to 7,811.78, 10,779.50 and 4,454.34 is: 6,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.78 : 10,779.50 = 4,454.34 : x
  2. Step 2: Convert to fraction form
    7,811.78/10,779.50 = 4,454.34/x
  3. Step 3: Cross multiply
    7,811.78x = 10,779.50 × 4,454.34
  4. Step 4: Simplify right side
    7,811.78x = 48,015,558.03
  5. Step 5: Solve for x
    x = 48,015,558.03/7,811.78
  6. Step 6: Final answer
    x = 6,146.56

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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.