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Finding the Fourth Proportional to 8,405.56, 12,595.32 and 5,774.32

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Solution

The fourth proportional to 8,405.56, 12,595.32 and 5,774.32 is: 8,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.56 : 12,595.32 = 5,774.32 : x
  2. Step 2: Convert to fraction form
    8,405.56/12,595.32 = 5,774.32/x
  3. Step 3: Cross multiply
    8,405.56x = 12,595.32 × 5,774.32
  4. Step 4: Simplify right side
    8,405.56x = 72,729,408.18
  5. Step 5: Solve for x
    x = 72,729,408.18/8,405.56
  6. Step 6: Final answer
    x = 8,652.54

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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.