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Finding the Fourth Proportional to 30,661.68, 45,985.23 and 8,474.58

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Solution

The fourth proportional to 30,661.68, 45,985.23 and 8,474.58 is: 12,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.68 : 45,985.23 = 8,474.58 : x
  2. Step 2: Convert to fraction form
    30,661.68/45,985.23 = 8,474.58/x
  3. Step 3: Cross multiply
    30,661.68x = 45,985.23 × 8,474.58
  4. Step 4: Simplify right side
    30,661.68x = 389,705,510.45
  5. Step 5: Solve for x
    x = 389,705,510.45/30,661.68
  6. Step 6: Final answer
    x = 12,709.86

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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.