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Finding the Fourth Proportional to 19,575, 27,013.50 and 11,191.50

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Solution

The fourth proportional to 19,575, 27,013.50 and 11,191.50 is: 15,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 27,013.50 = 11,191.50 : x
  2. Step 2: Convert to fraction form
    19,575/27,013.50 = 11,191.50/x
  3. Step 3: Cross multiply
    19,575x = 27,013.50 × 11,191.50
  4. Step 4: Simplify right side
    19,575x = 302,321,585.25
  5. Step 5: Solve for x
    x = 302,321,585.25/19,575
  6. Step 6: Final answer
    x = 15,444.27

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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.