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Finding the Fourth Proportional to 11,903.58, 16,413 and 9,658.44

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Solution

The fourth proportional to 11,903.58, 16,413 and 9,658.44 is: 13,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.58 : 16,413 = 9,658.44 : x
  2. Step 2: Convert to fraction form
    11,903.58/16,413 = 9,658.44/x
  3. Step 3: Cross multiply
    11,903.58x = 16,413 × 9,658.44
  4. Step 4: Simplify right side
    11,903.58x = 158,523,975.72
  5. Step 5: Solve for x
    x = 158,523,975.72/11,903.58
  6. Step 6: Final answer
    x = 13,317.34

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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.