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Finding the Fourth Proportional to 9,909.72, 13,676.81 and 6,134.10

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Solution

The fourth proportional to 9,909.72, 13,676.81 and 6,134.10 is: 8,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.72 : 13,676.81 = 6,134.10 : x
  2. Step 2: Convert to fraction form
    9,909.72/13,676.81 = 6,134.10/x
  3. Step 3: Cross multiply
    9,909.72x = 13,676.81 × 6,134.10
  4. Step 4: Simplify right side
    9,909.72x = 83,894,920.22
  5. Step 5: Solve for x
    x = 83,894,920.22/9,909.72
  6. Step 6: Final answer
    x = 8,465.92

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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.