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Finding the Fourth Proportional to 20,085.49, 30,128.49 and 7,602.16

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Solution

The fourth proportional to 20,085.49, 30,128.49 and 7,602.16 is: 11,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.49 : 30,128.49 = 7,602.16 : x
  2. Step 2: Convert to fraction form
    20,085.49/30,128.49 = 7,602.16/x
  3. Step 3: Cross multiply
    20,085.49x = 30,128.49 × 7,602.16
  4. Step 4: Simplify right side
    20,085.49x = 229,041,601.54
  5. Step 5: Solve for x
    x = 229,041,601.54/20,085.49
  6. Step 6: Final answer
    x = 11,403.34

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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.