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Finding the Fourth Proportional to 20,905.24, 31,357.86 and 7,054.24

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Solution

The fourth proportional to 20,905.24, 31,357.86 and 7,054.24 is: 10,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.24 : 31,357.86 = 7,054.24 : x
  2. Step 2: Convert to fraction form
    20,905.24/31,357.86 = 7,054.24/x
  3. Step 3: Cross multiply
    20,905.24x = 31,357.86 × 7,054.24
  4. Step 4: Simplify right side
    20,905.24x = 221,205,870.33
  5. Step 5: Solve for x
    x = 221,205,870.33/20,905.24
  6. Step 6: Final answer
    x = 10,581.36

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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.