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Finding the Fourth Proportional to 14,007.16, 19,329.88 and 7,719.54

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Solution

The fourth proportional to 14,007.16, 19,329.88 and 7,719.54 is: 10,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.16 : 19,329.88 = 7,719.54 : x
  2. Step 2: Convert to fraction form
    14,007.16/19,329.88 = 7,719.54/x
  3. Step 3: Cross multiply
    14,007.16x = 19,329.88 × 7,719.54
  4. Step 4: Simplify right side
    14,007.16x = 149,217,781.86
  5. Step 5: Solve for x
    x = 149,217,781.86/14,007.16
  6. Step 6: Final answer
    x = 10,652.96

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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.