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Finding the Fourth Proportional to 13,772, 19,055.40 and 12,007.28

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Solution

The fourth proportional to 13,772, 19,055.40 and 12,007.28 is: 16,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 19,055.40 = 12,007.28 : x
  2. Step 2: Convert to fraction form
    13,772/19,055.40 = 12,007.28/x
  3. Step 3: Cross multiply
    13,772x = 19,055.40 × 12,007.28
  4. Step 4: Simplify right side
    13,772x = 228,803,523.31
  5. Step 5: Solve for x
    x = 228,803,523.31/13,772
  6. Step 6: Final answer
    x = 16,613.67

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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.