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Finding the Fourth Proportional to 11,509.20, 16,134.75 and 11,509.20

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Solution

The fourth proportional to 11,509.20, 16,134.75 and 11,509.20 is: 16,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.20 : 16,134.75 = 11,509.20 : x
  2. Step 2: Convert to fraction form
    11,509.20/16,134.75 = 11,509.20/x
  3. Step 3: Cross multiply
    11,509.20x = 16,134.75 × 11,509.20
  4. Step 4: Simplify right side
    11,509.20x = 185,698,064.70
  5. Step 5: Solve for x
    x = 185,698,064.70/11,509.20
  6. Step 6: Final answer
    x = 16,134.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.