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Finding the Fourth Proportional to 30,698.58, 46,048.80 and 11,977.86

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Solution

The fourth proportional to 30,698.58, 46,048.80 and 11,977.86 is: 17,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.58 : 46,048.80 = 11,977.86 : x
  2. Step 2: Convert to fraction form
    30,698.58/46,048.80 = 11,977.86/x
  3. Step 3: Cross multiply
    30,698.58x = 46,048.80 × 11,977.86
  4. Step 4: Simplify right side
    30,698.58x = 551,566,079.57
  5. Step 5: Solve for x
    x = 551,566,079.57/30,698.58
  6. Step 6: Final answer
    x = 17,967.15

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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.