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Finding the Fourth Proportional to 12,853, 19,279.50 and 4,645

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Solution

The fourth proportional to 12,853, 19,279.50 and 4,645 is: 6,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853 : 19,279.50 = 4,645 : x
  2. Step 2: Convert to fraction form
    12,853/19,279.50 = 4,645/x
  3. Step 3: Cross multiply
    12,853x = 19,279.50 × 4,645
  4. Step 4: Simplify right side
    12,853x = 89,553,277.50
  5. Step 5: Solve for x
    x = 89,553,277.50/12,853
  6. Step 6: Final answer
    x = 6,967.50

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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.