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Finding the Fourth Proportional to 9,796, 13,496.88 and 9,536.80

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Solution

The fourth proportional to 9,796, 13,496.88 and 9,536.80 is: 13,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 13,496.88 = 9,536.80 : x
  2. Step 2: Convert to fraction form
    9,796/13,496.88 = 9,536.80/x
  3. Step 3: Cross multiply
    9,796x = 13,496.88 × 9,536.80
  4. Step 4: Simplify right side
    9,796x = 128,717,045.18
  5. Step 5: Solve for x
    x = 128,717,045.18/9,796
  6. Step 6: Final answer
    x = 13,139.76

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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.