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Finding the Fourth Proportional to 20,041.48, 30,071.64 and 8,947.16

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Solution

The fourth proportional to 20,041.48, 30,071.64 and 8,947.16 is: 13,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.48 : 30,071.64 = 8,947.16 : x
  2. Step 2: Convert to fraction form
    20,041.48/30,071.64 = 8,947.16/x
  3. Step 3: Cross multiply
    20,041.48x = 30,071.64 × 8,947.16
  4. Step 4: Simplify right side
    20,041.48x = 269,055,774.54
  5. Step 5: Solve for x
    x = 269,055,774.54/20,041.48
  6. Step 6: Final answer
    x = 13,424.95

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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.