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Finding the Fourth Proportional to 19,220.78, 28,842 and 10,456.34

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Solution

The fourth proportional to 19,220.78, 28,842 and 10,456.34 is: 15,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,220.78 : 28,842 = 10,456.34 : x
  2. Step 2: Convert to fraction form
    19,220.78/28,842 = 10,456.34/x
  3. Step 3: Cross multiply
    19,220.78x = 28,842 × 10,456.34
  4. Step 4: Simplify right side
    19,220.78x = 301,581,758.28
  5. Step 5: Solve for x
    x = 301,581,758.28/19,220.78
  6. Step 6: Final answer
    x = 15,690.40

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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.