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Finding the Fourth Proportional to 30,343.75, 45,485.02 and 12,549.85

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Solution

The fourth proportional to 30,343.75, 45,485.02 and 12,549.85 is: 18,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.75 : 45,485.02 = 12,549.85 : x
  2. Step 2: Convert to fraction form
    30,343.75/45,485.02 = 12,549.85/x
  3. Step 3: Cross multiply
    30,343.75x = 45,485.02 × 12,549.85
  4. Step 4: Simplify right side
    30,343.75x = 570,830,178.25
  5. Step 5: Solve for x
    x = 570,830,178.25/30,343.75
  6. Step 6: Final answer
    x = 18,812.12

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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.