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Finding the Fourth Proportional to 9,779.04, 14,676.48 and 8,408.64

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Solution

The fourth proportional to 9,779.04, 14,676.48 and 8,408.64 is: 12,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.04 : 14,676.48 = 8,408.64 : x
  2. Step 2: Convert to fraction form
    9,779.04/14,676.48 = 8,408.64/x
  3. Step 3: Cross multiply
    9,779.04x = 14,676.48 × 8,408.64
  4. Step 4: Simplify right side
    9,779.04x = 123,409,236.79
  5. Step 5: Solve for x
    x = 123,409,236.79/9,779.04
  6. Step 6: Final answer
    x = 12,619.77

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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.