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Finding the Fourth Proportional to 13,455.92, 18,569.18 and 7,487.98

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Solution

The fourth proportional to 13,455.92, 18,569.18 and 7,487.98 is: 10,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.92 : 18,569.18 = 7,487.98 : x
  2. Step 2: Convert to fraction form
    13,455.92/18,569.18 = 7,487.98/x
  3. Step 3: Cross multiply
    13,455.92x = 18,569.18 × 7,487.98
  4. Step 4: Simplify right side
    13,455.92x = 139,045,564.59
  5. Step 5: Solve for x
    x = 139,045,564.59/13,455.92
  6. Step 6: Final answer
    x = 10,333.41

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Why These Related Problems?

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