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Finding the Fourth Proportional to 19,211.92, 26,513.16 and 10,829.20

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Solution

The fourth proportional to 19,211.92, 26,513.16 and 10,829.20 is: 14,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,211.92 : 26,513.16 = 10,829.20 : x
  2. Step 2: Convert to fraction form
    19,211.92/26,513.16 = 10,829.20/x
  3. Step 3: Cross multiply
    19,211.92x = 26,513.16 × 10,829.20
  4. Step 4: Simplify right side
    19,211.92x = 287,116,312.27
  5. Step 5: Solve for x
    x = 287,116,312.27/19,211.92
  6. Step 6: Final answer
    x = 14,944.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.