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Finding the Fourth Proportional to 13,562.53, 18,715.69 and 7,897.44

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Solution

The fourth proportional to 13,562.53, 18,715.69 and 7,897.44 is: 10,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.53 : 18,715.69 = 7,897.44 : x
  2. Step 2: Convert to fraction form
    13,562.53/18,715.69 = 7,897.44/x
  3. Step 3: Cross multiply
    13,562.53x = 18,715.69 × 7,897.44
  4. Step 4: Simplify right side
    13,562.53x = 147,806,038.83
  5. Step 5: Solve for x
    x = 147,806,038.83/13,562.53
  6. Step 6: Final answer
    x = 10,898.12

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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.