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Finding the Fourth Proportional to 6,486, 9,729.54 and 1,869

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Solution

The fourth proportional to 6,486, 9,729.54 and 1,869 is: 2,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486 : 9,729.54 = 1,869 : x
  2. Step 2: Convert to fraction form
    6,486/9,729.54 = 1,869/x
  3. Step 3: Cross multiply
    6,486x = 9,729.54 × 1,869
  4. Step 4: Simplify right side
    6,486x = 18,184,510.26
  5. Step 5: Solve for x
    x = 18,184,510.26/6,486
  6. Step 6: Final answer
    x = 2,803.66

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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.