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Finding the Fourth Proportional to 20,703, 31,054.74 and 5,120.76

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Solution

The fourth proportional to 20,703, 31,054.74 and 5,120.76 is: 7,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 31,054.74 = 5,120.76 : x
  2. Step 2: Convert to fraction form
    20,703/31,054.74 = 5,120.76/x
  3. Step 3: Cross multiply
    20,703x = 31,054.74 × 5,120.76
  4. Step 4: Simplify right side
    20,703x = 159,023,870.40
  5. Step 5: Solve for x
    x = 159,023,870.40/20,703
  6. Step 6: Final answer
    x = 7,681.20

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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.