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Finding the Fourth Proportional to 30,665.88, 46,003.62 and 9,891.48

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Solution

The fourth proportional to 30,665.88, 46,003.62 and 9,891.48 is: 14,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.88 : 46,003.62 = 9,891.48 : x
  2. Step 2: Convert to fraction form
    30,665.88/46,003.62 = 9,891.48/x
  3. Step 3: Cross multiply
    30,665.88x = 46,003.62 × 9,891.48
  4. Step 4: Simplify right side
    30,665.88x = 455,043,887.16
  5. Step 5: Solve for x
    x = 455,043,887.16/30,665.88
  6. Step 6: Final answer
    x = 14,838.77

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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.