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Finding the Fourth Proportional to 11,688, 17,534.88 and 3,480

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Solution

The fourth proportional to 11,688, 17,534.88 and 3,480 is: 5,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688 : 17,534.88 = 3,480 : x
  2. Step 2: Convert to fraction form
    11,688/17,534.88 = 3,480/x
  3. Step 3: Cross multiply
    11,688x = 17,534.88 × 3,480
  4. Step 4: Simplify right side
    11,688x = 61,021,382.40
  5. Step 5: Solve for x
    x = 61,021,382.40/11,688
  6. Step 6: Final answer
    x = 5,220.86

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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.