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Finding the Fourth Proportional to 30,702.71, 46,054.04 and 13,815.97

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Solution

The fourth proportional to 30,702.71, 46,054.04 and 13,815.97 is: 20,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.71 : 46,054.04 = 13,815.97 : x
  2. Step 2: Convert to fraction form
    30,702.71/46,054.04 = 13,815.97/x
  3. Step 3: Cross multiply
    30,702.71x = 46,054.04 × 13,815.97
  4. Step 4: Simplify right side
    30,702.71x = 636,281,458.81
  5. Step 5: Solve for x
    x = 636,281,458.81/30,702.71
  6. Step 6: Final answer
    x = 20,723.95

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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.