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Finding the Fourth Proportional to 13,782.71, 20,655.83 and 5,009.19

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Solution

The fourth proportional to 13,782.71, 20,655.83 and 5,009.19 is: 7,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.71 : 20,655.83 = 5,009.19 : x
  2. Step 2: Convert to fraction form
    13,782.71/20,655.83 = 5,009.19/x
  3. Step 3: Cross multiply
    13,782.71x = 20,655.83 × 5,009.19
  4. Step 4: Simplify right side
    13,782.71x = 103,468,952.03
  5. Step 5: Solve for x
    x = 103,468,952.03/13,782.71
  6. Step 6: Final answer
    x = 7,507.16

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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.