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Finding the Fourth Proportional to 30,247.84, 45,364.80 and 11,530

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Solution

The fourth proportional to 30,247.84, 45,364.80 and 11,530 is: 17,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,247.84 : 45,364.80 = 11,530 : x
  2. Step 2: Convert to fraction form
    30,247.84/45,364.80 = 11,530/x
  3. Step 3: Cross multiply
    30,247.84x = 45,364.80 × 11,530
  4. Step 4: Simplify right side
    30,247.84x = 523,056,144.00
  5. Step 5: Solve for x
    x = 523,056,144.00/30,247.84
  6. Step 6: Final answer
    x = 17,292.35

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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.