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Finding the Fourth Proportional to 11,155.64, 16,736.22 and 7,875.14

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Solution

The fourth proportional to 11,155.64, 16,736.22 and 7,875.14 is: 11,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.64 : 16,736.22 = 7,875.14 : x
  2. Step 2: Convert to fraction form
    11,155.64/16,736.22 = 7,875.14/x
  3. Step 3: Cross multiply
    11,155.64x = 16,736.22 × 7,875.14
  4. Step 4: Simplify right side
    11,155.64x = 131,800,075.57
  5. Step 5: Solve for x
    x = 131,800,075.57/11,155.64
  6. Step 6: Final answer
    x = 11,814.66

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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.