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Finding the Fourth Proportional to 9,796, 13,519.20 and 6,070.72

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Solution

The fourth proportional to 9,796, 13,519.20 and 6,070.72 is: 8,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 13,519.20 = 6,070.72 : x
  2. Step 2: Convert to fraction form
    9,796/13,519.20 = 6,070.72/x
  3. Step 3: Cross multiply
    9,796x = 13,519.20 × 6,070.72
  4. Step 4: Simplify right side
    9,796x = 82,071,277.82
  5. Step 5: Solve for x
    x = 82,071,277.82/9,796
  6. Step 6: Final answer
    x = 8,378.04

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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.