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Finding the Fourth Proportional to 13,685.69, 18,886.87 and 7,717.34

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Solution

The fourth proportional to 13,685.69, 18,886.87 and 7,717.34 is: 10,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.69 : 18,886.87 = 7,717.34 : x
  2. Step 2: Convert to fraction form
    13,685.69/18,886.87 = 7,717.34/x
  3. Step 3: Cross multiply
    13,685.69x = 18,886.87 × 7,717.34
  4. Step 4: Simplify right side
    13,685.69x = 145,756,397.33
  5. Step 5: Solve for x
    x = 145,756,397.33/13,685.69
  6. Step 6: Final answer
    x = 10,650.28

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1.5x scale

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.