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Finding the Fourth Proportional to 30,699.94, 46,048.54 and 9,639.48

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Solution

The fourth proportional to 30,699.94, 46,048.54 and 9,639.48 is: 14,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699.94 : 46,048.54 = 9,639.48 : x
  2. Step 2: Convert to fraction form
    30,699.94/46,048.54 = 9,639.48/x
  3. Step 3: Cross multiply
    30,699.94x = 46,048.54 × 9,639.48
  4. Step 4: Simplify right side
    30,699.94x = 443,883,980.36
  5. Step 5: Solve for x
    x = 443,883,980.36/30,699.94
  6. Step 6: Final answer
    x = 14,458.79

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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.