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Finding the Fourth Proportional to 11,518, 15,894.84 and 6,550

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Solution

The fourth proportional to 11,518, 15,894.84 and 6,550 is: 9,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 15,894.84 = 6,550 : x
  2. Step 2: Convert to fraction form
    11,518/15,894.84 = 6,550/x
  3. Step 3: Cross multiply
    11,518x = 15,894.84 × 6,550
  4. Step 4: Simplify right side
    11,518x = 104,111,202
  5. Step 5: Solve for x
    x = 104,111,202/11,518
  6. Step 6: Final answer
    x = 9,039

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.