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Finding the Fourth Proportional to 30,328.41, 45,491.06 and 11,607

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Solution

The fourth proportional to 30,328.41, 45,491.06 and 11,607 is: 17,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,328.41 : 45,491.06 = 11,607 : x
  2. Step 2: Convert to fraction form
    30,328.41/45,491.06 = 11,607/x
  3. Step 3: Cross multiply
    30,328.41x = 45,491.06 × 11,607
  4. Step 4: Simplify right side
    30,328.41x = 528,014,675.39
  5. Step 5: Solve for x
    x = 528,014,675.39/30,328.41
  6. Step 6: Final answer
    x = 17,409.90

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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.