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Finding the Fourth Proportional to 13,708.53, 18,917.77 and 7,740.09

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Solution

The fourth proportional to 13,708.53, 18,917.77 and 7,740.09 is: 10,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.53 : 18,917.77 = 7,740.09 : x
  2. Step 2: Convert to fraction form
    13,708.53/18,917.77 = 7,740.09/x
  3. Step 3: Cross multiply
    13,708.53x = 18,917.77 × 7,740.09
  4. Step 4: Simplify right side
    13,708.53x = 146,425,242.40
  5. Step 5: Solve for x
    x = 146,425,242.40/13,708.53
  6. Step 6: Final answer
    x = 10,681.32

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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.