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Finding the Fourth Proportional to 30,676.86, 42,283.08 and 21,712.86

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Solution

The fourth proportional to 30,676.86, 42,283.08 and 21,712.86 is: 29,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.86 : 42,283.08 = 21,712.86 : x
  2. Step 2: Convert to fraction form
    30,676.86/42,283.08 = 21,712.86/x
  3. Step 3: Cross multiply
    30,676.86x = 42,283.08 × 21,712.86
  4. Step 4: Simplify right side
    30,676.86x = 918,086,596.41
  5. Step 5: Solve for x
    x = 918,086,596.41/30,676.86
  6. Step 6: Final answer
    x = 29,927.66

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1.5x scale

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.