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Finding the Fourth Proportional to 30,348, 45,530.10 and 9,571.50

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Solution

The fourth proportional to 30,348, 45,530.10 and 9,571.50 is: 14,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348 : 45,530.10 = 9,571.50 : x
  2. Step 2: Convert to fraction form
    30,348/45,530.10 = 9,571.50/x
  3. Step 3: Cross multiply
    30,348x = 45,530.10 × 9,571.50
  4. Step 4: Simplify right side
    30,348x = 435,791,352.15
  5. Step 5: Solve for x
    x = 435,791,352.15/30,348
  6. Step 6: Final answer
    x = 14,359.80

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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.