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Finding the Fourth Proportional to 15,783.32, 23,682 and 8,385.98

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Solution

The fourth proportional to 15,783.32, 23,682 and 8,385.98 is: 12,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.32 : 23,682 = 8,385.98 : x
  2. Step 2: Convert to fraction form
    15,783.32/23,682 = 8,385.98/x
  3. Step 3: Cross multiply
    15,783.32x = 23,682 × 8,385.98
  4. Step 4: Simplify right side
    15,783.32x = 198,596,778.36
  5. Step 5: Solve for x
    x = 198,596,778.36/15,783.32
  6. Step 6: Final answer
    x = 12,582.70

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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.