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Finding the Fourth Proportional to 13,804.50, 20,707.83 and 4,570.50

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Solution

The fourth proportional to 13,804.50, 20,707.83 and 4,570.50 is: 6,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.50 : 20,707.83 = 4,570.50 : x
  2. Step 2: Convert to fraction form
    13,804.50/20,707.83 = 4,570.50/x
  3. Step 3: Cross multiply
    13,804.50x = 20,707.83 × 4,570.50
  4. Step 4: Simplify right side
    13,804.50x = 94,645,137.02
  5. Step 5: Solve for x
    x = 94,645,137.02/13,804.50
  6. Step 6: Final answer
    x = 6,856.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.