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Finding the Fourth Proportional to 6,163, 9,246.05 and 1,780.47

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Solution

The fourth proportional to 6,163, 9,246.05 and 1,780.47 is: 2,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163 : 9,246.05 = 1,780.47 : x
  2. Step 2: Convert to fraction form
    6,163/9,246.05 = 1,780.47/x
  3. Step 3: Cross multiply
    6,163x = 9,246.05 × 1,780.47
  4. Step 4: Simplify right side
    6,163x = 16,462,314.64
  5. Step 5: Solve for x
    x = 16,462,314.64/6,163
  6. Step 6: Final answer
    x = 2,671.15

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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.