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Finding the Fourth Proportional to 13,503.84, 18,632.31 and 7,835.31

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Solution

The fourth proportional to 13,503.84, 18,632.31 and 7,835.31 is: 10,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.84 : 18,632.31 = 7,835.31 : x
  2. Step 2: Convert to fraction form
    13,503.84/18,632.31 = 7,835.31/x
  3. Step 3: Cross multiply
    13,503.84x = 18,632.31 × 7,835.31
  4. Step 4: Simplify right side
    13,503.84x = 145,989,924.87
  5. Step 5: Solve for x
    x = 145,989,924.87/13,503.84
  6. Step 6: Final answer
    x = 10,810.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.