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Finding the Fourth Proportional to 13,782.68, 19,019.92 and 7,494.92

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Solution

The fourth proportional to 13,782.68, 19,019.92 and 7,494.92 is: 10,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.68 : 19,019.92 = 7,494.92 : x
  2. Step 2: Convert to fraction form
    13,782.68/19,019.92 = 7,494.92/x
  3. Step 3: Cross multiply
    13,782.68x = 19,019.92 × 7,494.92
  4. Step 4: Simplify right side
    13,782.68x = 142,552,778.81
  5. Step 5: Solve for x
    x = 142,552,778.81/13,782.68
  6. Step 6: Final answer
    x = 10,342.89

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Half scale
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Double scale
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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.