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Finding the Fourth Proportional to 9,796, 14,694 and 2,870.56

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Solution

The fourth proportional to 9,796, 14,694 and 2,870.56 is: 4,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 14,694 = 2,870.56 : x
  2. Step 2: Convert to fraction form
    9,796/14,694 = 2,870.56/x
  3. Step 3: Cross multiply
    9,796x = 14,694 × 2,870.56
  4. Step 4: Simplify right side
    9,796x = 42,180,008.64
  5. Step 5: Solve for x
    x = 42,180,008.64/9,796
  6. Step 6: Final answer
    x = 4,305.84

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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.