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Finding the Fourth Proportional to 9,913.94, 13,678.47 and 6,379.21

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Solution

The fourth proportional to 9,913.94, 13,678.47 and 6,379.21 is: 8,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.94 : 13,678.47 = 6,379.21 : x
  2. Step 2: Convert to fraction form
    9,913.94/13,678.47 = 6,379.21/x
  3. Step 3: Cross multiply
    9,913.94x = 13,678.47 × 6,379.21
  4. Step 4: Simplify right side
    9,913.94x = 87,257,772.77
  5. Step 5: Solve for x
    x = 87,257,772.77/9,913.94
  6. Step 6: Final answer
    x = 8,801.52

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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.