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Finding the Fourth Proportional to 13,804, 20,707.08 and 4,570

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Solution

The fourth proportional to 13,804, 20,707.08 and 4,570 is: 6,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804 : 20,707.08 = 4,570 : x
  2. Step 2: Convert to fraction form
    13,804/20,707.08 = 4,570/x
  3. Step 3: Cross multiply
    13,804x = 20,707.08 × 4,570
  4. Step 4: Simplify right side
    13,804x = 94,631,355.60
  5. Step 5: Solve for x
    x = 94,631,355.60/13,804
  6. Step 6: Final answer
    x = 6,855.36

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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.