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Finding the Fourth Proportional to 19,287.14, 28,905.43 and 10,970.98

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Solution

The fourth proportional to 19,287.14, 28,905.43 and 10,970.98 is: 16,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287.14 : 28,905.43 = 10,970.98 : x
  2. Step 2: Convert to fraction form
    19,287.14/28,905.43 = 10,970.98/x
  3. Step 3: Cross multiply
    19,287.14x = 28,905.43 × 10,970.98
  4. Step 4: Simplify right side
    19,287.14x = 317,120,894.42
  5. Step 5: Solve for x
    x = 317,120,894.42/19,287.14
  6. Step 6: Final answer
    x = 16,442.09

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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.