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Finding the Fourth Proportional to 13,693.12, 20,539.68 and 4,927.81

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Solution

The fourth proportional to 13,693.12, 20,539.68 and 4,927.81 is: 7,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.12 : 20,539.68 = 4,927.81 : x
  2. Step 2: Convert to fraction form
    13,693.12/20,539.68 = 4,927.81/x
  3. Step 3: Cross multiply
    13,693.12x = 20,539.68 × 4,927.81
  4. Step 4: Simplify right side
    13,693.12x = 101,215,640.50
  5. Step 5: Solve for x
    x = 101,215,640.50/13,693.12
  6. Step 6: Final answer
    x = 7,391.72

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1.5x scale

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.