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Finding the Fourth Proportional to 13,706.68, 20,569.50 and 5,386.64

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Solution

The fourth proportional to 13,706.68, 20,569.50 and 5,386.64 is: 8,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.68 : 20,569.50 = 5,386.64 : x
  2. Step 2: Convert to fraction form
    13,706.68/20,569.50 = 5,386.64/x
  3. Step 3: Cross multiply
    13,706.68x = 20,569.50 × 5,386.64
  4. Step 4: Simplify right side
    13,706.68x = 110,800,491.48
  5. Step 5: Solve for x
    x = 110,800,491.48/13,706.68
  6. Step 6: Final answer
    x = 8,083.69

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1.5x scale

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.