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Finding the Fourth Proportional to 8,945.99, 13,421.81 and 6,978.36

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Solution

The fourth proportional to 8,945.99, 13,421.81 and 6,978.36 is: 10,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.99 : 13,421.81 = 6,978.36 : x
  2. Step 2: Convert to fraction form
    8,945.99/13,421.81 = 6,978.36/x
  3. Step 3: Cross multiply
    8,945.99x = 13,421.81 × 6,978.36
  4. Step 4: Simplify right side
    8,945.99x = 93,662,239.48
  5. Step 5: Solve for x
    x = 93,662,239.48/8,945.99
  6. Step 6: Final answer
    x = 10,469.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.