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Finding the Fourth Proportional to 19,903.84, 27,468.64 and 13,177.84

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Solution

The fourth proportional to 19,903.84, 27,468.64 and 13,177.84 is: 18,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903.84 : 27,468.64 = 13,177.84 : x
  2. Step 2: Convert to fraction form
    19,903.84/27,468.64 = 13,177.84/x
  3. Step 3: Cross multiply
    19,903.84x = 27,468.64 × 13,177.84
  4. Step 4: Simplify right side
    19,903.84x = 361,977,342.94
  5. Step 5: Solve for x
    x = 361,977,342.94/19,903.84
  6. Step 6: Final answer
    x = 18,186.31

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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.