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Finding the Fourth Proportional to 31,090.65, 46,626.25 and 13,542.81

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Solution

The fourth proportional to 31,090.65, 46,626.25 and 13,542.81 is: 20,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.65 : 46,626.25 = 13,542.81 : x
  2. Step 2: Convert to fraction form
    31,090.65/46,626.25 = 13,542.81/x
  3. Step 3: Cross multiply
    31,090.65x = 46,626.25 × 13,542.81
  4. Step 4: Simplify right side
    31,090.65x = 631,450,444.76
  5. Step 5: Solve for x
    x = 631,450,444.76/31,090.65
  6. Step 6: Final answer
    x = 20,309.98

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