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Finding the Fourth Proportional to 30,803, 46,202.68 and 8,615.88

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Solution

The fourth proportional to 30,803, 46,202.68 and 8,615.88 is: 12,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803 : 46,202.68 = 8,615.88 : x
  2. Step 2: Convert to fraction form
    30,803/46,202.68 = 8,615.88/x
  3. Step 3: Cross multiply
    30,803x = 46,202.68 × 8,615.88
  4. Step 4: Simplify right side
    30,803x = 398,076,746.56
  5. Step 5: Solve for x
    x = 398,076,746.56/30,803
  6. Step 6: Final answer
    x = 12,923.31

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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.