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Finding the Fourth Proportional to 13,857.98, 19,124.01 and 7,484.58

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Solution

The fourth proportional to 13,857.98, 19,124.01 and 7,484.58 is: 10,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.98 : 19,124.01 = 7,484.58 : x
  2. Step 2: Convert to fraction form
    13,857.98/19,124.01 = 7,484.58/x
  3. Step 3: Cross multiply
    13,857.98x = 19,124.01 × 7,484.58
  4. Step 4: Simplify right side
    13,857.98x = 143,135,153.67
  5. Step 5: Solve for x
    x = 143,135,153.67/13,857.98
  6. Step 6: Final answer
    x = 10,328.72

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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.