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Finding the Fourth Proportional to 15,060.39, 20,783.10 and 8,346

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Solution

The fourth proportional to 15,060.39, 20,783.10 and 8,346 is: 11,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,060.39 : 20,783.10 = 8,346 : x
  2. Step 2: Convert to fraction form
    15,060.39/20,783.10 = 8,346/x
  3. Step 3: Cross multiply
    15,060.39x = 20,783.10 × 8,346
  4. Step 4: Simplify right side
    15,060.39x = 173,455,710.87
  5. Step 5: Solve for x
    x = 173,455,710.87/15,060.39
  6. Step 6: Final answer
    x = 11,517.35

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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.