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Finding the Fourth Proportional to 13,772, 19,005.22 and 7,484.40

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Solution

The fourth proportional to 13,772, 19,005.22 and 7,484.40 is: 10,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 19,005.22 = 7,484.40 : x
  2. Step 2: Convert to fraction form
    13,772/19,005.22 = 7,484.40/x
  3. Step 3: Cross multiply
    13,772x = 19,005.22 × 7,484.40
  4. Step 4: Simplify right side
    13,772x = 142,242,668.57
  5. Step 5: Solve for x
    x = 142,242,668.57/13,772
  6. Step 6: Final answer
    x = 10,328.40

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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.