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Finding the Fourth Proportional to 9,913.99, 13,676.12 and 5,878.47

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Solution

The fourth proportional to 9,913.99, 13,676.12 and 5,878.47 is: 8,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.99 : 13,676.12 = 5,878.47 : x
  2. Step 2: Convert to fraction form
    9,913.99/13,676.12 = 5,878.47/x
  3. Step 3: Cross multiply
    9,913.99x = 13,676.12 × 5,878.47
  4. Step 4: Simplify right side
    9,913.99x = 80,394,661.14
  5. Step 5: Solve for x
    x = 80,394,661.14/9,913.99
  6. Step 6: Final answer
    x = 8,109.21

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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.