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Finding the Fourth Proportional to 30,992, 46,508.48 and 14,577.28

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Solution

The fourth proportional to 30,992, 46,508.48 and 14,577.28 is: 21,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992 : 46,508.48 = 14,577.28 : x
  2. Step 2: Convert to fraction form
    30,992/46,508.48 = 14,577.28/x
  3. Step 3: Cross multiply
    30,992x = 46,508.48 × 14,577.28
  4. Step 4: Simplify right side
    30,992x = 677,967,135.33
  5. Step 5: Solve for x
    x = 677,967,135.33/30,992
  6. Step 6: Final answer
    x = 21,875.55

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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.