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Finding the Fourth Proportional to 20,298.24, 30,460.32 and 7,828.32

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Solution

The fourth proportional to 20,298.24, 30,460.32 and 7,828.32 is: 11,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.24 : 30,460.32 = 7,828.32 : x
  2. Step 2: Convert to fraction form
    20,298.24/30,460.32 = 7,828.32/x
  3. Step 3: Cross multiply
    20,298.24x = 30,460.32 × 7,828.32
  4. Step 4: Simplify right side
    20,298.24x = 238,453,132.26
  5. Step 5: Solve for x
    x = 238,453,132.26/20,298.24
  6. Step 6: Final answer
    x = 11,747.48

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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.