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Finding the Fourth Proportional to 20,804.64, 31,203.88 and 7,653.93

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Solution

The fourth proportional to 20,804.64, 31,203.88 and 7,653.93 is: 11,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.64 : 31,203.88 = 7,653.93 : x
  2. Step 2: Convert to fraction form
    20,804.64/31,203.88 = 7,653.93/x
  3. Step 3: Cross multiply
    20,804.64x = 31,203.88 × 7,653.93
  4. Step 4: Simplify right side
    20,804.64x = 238,832,274.98
  5. Step 5: Solve for x
    x = 238,832,274.98/20,804.64
  6. Step 6: Final answer
    x = 11,479.76

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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.