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Finding the Fourth Proportional to 19,013.76, 28,539 and 9,159.84

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Solution

The fourth proportional to 19,013.76, 28,539 and 9,159.84 is: 13,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013.76 : 28,539 = 9,159.84 : x
  2. Step 2: Convert to fraction form
    19,013.76/28,539 = 9,159.84/x
  3. Step 3: Cross multiply
    19,013.76x = 28,539 × 9,159.84
  4. Step 4: Simplify right side
    19,013.76x = 261,412,673.76
  5. Step 5: Solve for x
    x = 261,412,673.76/19,013.76
  6. Step 6: Final answer
    x = 13,748.60

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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.