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Finding the Fourth Proportional to 11,805.48, 16,289.48 and 7,089.86

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Solution

The fourth proportional to 11,805.48, 16,289.48 and 7,089.86 is: 9,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.48 : 16,289.48 = 7,089.86 : x
  2. Step 2: Convert to fraction form
    11,805.48/16,289.48 = 7,089.86/x
  3. Step 3: Cross multiply
    11,805.48x = 16,289.48 × 7,089.86
  4. Step 4: Simplify right side
    11,805.48x = 115,490,015.78
  5. Step 5: Solve for x
    x = 115,490,015.78/11,805.48
  6. Step 6: Final answer
    x = 9,782.75

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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.