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Finding the Fourth Proportional to 14,696, 20,297.76 and 9,719.36

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Solution

The fourth proportional to 14,696, 20,297.76 and 9,719.36 is: 13,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696 : 20,297.76 = 9,719.36 : x
  2. Step 2: Convert to fraction form
    14,696/20,297.76 = 9,719.36/x
  3. Step 3: Cross multiply
    14,696x = 20,297.76 × 9,719.36
  4. Step 4: Simplify right side
    14,696x = 197,281,236.63
  5. Step 5: Solve for x
    x = 197,281,236.63/14,696
  6. Step 6: Final answer
    x = 13,424.15

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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.