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Finding the Fourth Proportional to 13,693.15, 20,539.73 and 4,928.77

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Solution

The fourth proportional to 13,693.15, 20,539.73 and 4,928.77 is: 7,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.15 : 20,539.73 = 4,928.77 : x
  2. Step 2: Convert to fraction form
    13,693.15/20,539.73 = 4,928.77/x
  3. Step 3: Cross multiply
    13,693.15x = 20,539.73 × 4,928.77
  4. Step 4: Simplify right side
    13,693.15x = 101,235,605.03
  5. Step 5: Solve for x
    x = 101,235,605.03/13,693.15
  6. Step 6: Final answer
    x = 7,393.16

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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.