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Finding the Fourth Proportional to 13,706.16, 20,513.16 and 7,854

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Solution

The fourth proportional to 13,706.16, 20,513.16 and 7,854 is: 11,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.16 : 20,513.16 = 7,854 : x
  2. Step 2: Convert to fraction form
    13,706.16/20,513.16 = 7,854/x
  3. Step 3: Cross multiply
    13,706.16x = 20,513.16 × 7,854
  4. Step 4: Simplify right side
    13,706.16x = 161,110,358.64
  5. Step 5: Solve for x
    x = 161,110,358.64/13,706.16
  6. Step 6: Final answer
    x = 11,754.59

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Why These Related Problems?

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