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Finding the Fourth Proportional to 16,470, 24,705 and 4,783.32

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Solution

The fourth proportional to 16,470, 24,705 and 4,783.32 is: 7,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 24,705 = 4,783.32 : x
  2. Step 2: Convert to fraction form
    16,470/24,705 = 4,783.32/x
  3. Step 3: Cross multiply
    16,470x = 24,705 × 4,783.32
  4. Step 4: Simplify right side
    16,470x = 118,171,920.60
  5. Step 5: Solve for x
    x = 118,171,920.60/16,470
  6. Step 6: Final answer
    x = 7,174.98

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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.