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Finding the Fourth Proportional to 13,322.52, 19,978.02 and 4,086.36

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Solution

The fourth proportional to 13,322.52, 19,978.02 and 4,086.36 is: 6,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.52 : 19,978.02 = 4,086.36 : x
  2. Step 2: Convert to fraction form
    13,322.52/19,978.02 = 4,086.36/x
  3. Step 3: Cross multiply
    13,322.52x = 19,978.02 × 4,086.36
  4. Step 4: Simplify right side
    13,322.52x = 81,637,381.81
  5. Step 5: Solve for x
    x = 81,637,381.81/13,322.52
  6. Step 6: Final answer
    x = 6,127.77

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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.