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Finding the Fourth Proportional to 20,647.08, 30,927.78 and 10,085.22

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Solution

The fourth proportional to 20,647.08, 30,927.78 and 10,085.22 is: 15,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.08 : 30,927.78 = 10,085.22 : x
  2. Step 2: Convert to fraction form
    20,647.08/30,927.78 = 10,085.22/x
  3. Step 3: Cross multiply
    20,647.08x = 30,927.78 × 10,085.22
  4. Step 4: Simplify right side
    20,647.08x = 311,913,465.41
  5. Step 5: Solve for x
    x = 311,913,465.41/20,647.08
  6. Step 6: Final answer
    x = 15,106.90

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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.