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Finding the Fourth Proportional to 46,658, 69,987 and 13,826

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Solution

The fourth proportional to 46,658, 69,987 and 13,826 is: 20,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658 : 69,987 = 13,826 : x
  2. Step 2: Convert to fraction form
    46,658/69,987 = 13,826/x
  3. Step 3: Cross multiply
    46,658x = 69,987 × 13,826
  4. Step 4: Simplify right side
    46,658x = 967,640,262
  5. Step 5: Solve for x
    x = 967,640,262/46,658
  6. Step 6: Final answer
    x = 20,739

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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.