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Finding the Fourth Proportional to 46,488, 69,743.84 and 13,656

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Solution

The fourth proportional to 46,488, 69,743.84 and 13,656 is: 20,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488 : 69,743.84 = 13,656 : x
  2. Step 2: Convert to fraction form
    46,488/69,743.84 = 13,656/x
  3. Step 3: Cross multiply
    46,488x = 69,743.84 × 13,656
  4. Step 4: Simplify right side
    46,488x = 952,421,879.04
  5. Step 5: Solve for x
    x = 952,421,879.04/46,488
  6. Step 6: Final answer
    x = 20,487.48

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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.