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Finding the Fourth Proportional to 46,455.84, 69,702.48 and 18,756

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Solution

The fourth proportional to 46,455.84, 69,702.48 and 18,756 is: 28,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,455.84 : 69,702.48 = 18,756 : x
  2. Step 2: Convert to fraction form
    46,455.84/69,702.48 = 18,756/x
  3. Step 3: Cross multiply
    46,455.84x = 69,702.48 × 18,756
  4. Step 4: Simplify right side
    46,455.84x = 1,307,339,714.88
  5. Step 5: Solve for x
    x = 1,307,339,714.88/46,455.84
  6. Step 6: Final answer
    x = 28,141.56

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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.