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Finding the Fourth Proportional to 9,913.10, 13,672.24 and 8,779.96

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Solution

The fourth proportional to 9,913.10, 13,672.24 and 8,779.96 is: 12,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.10 : 13,672.24 = 8,779.96 : x
  2. Step 2: Convert to fraction form
    9,913.10/13,672.24 = 8,779.96/x
  3. Step 3: Cross multiply
    9,913.10x = 13,672.24 × 8,779.96
  4. Step 4: Simplify right side
    9,913.10x = 120,041,720.31
  5. Step 5: Solve for x
    x = 120,041,720.31/9,913.10
  6. Step 6: Final answer
    x = 12,109.40

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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.