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Finding the Fourth Proportional to 10,523.89, 15,783.78 and 4,976.44

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Solution

The fourth proportional to 10,523.89, 15,783.78 and 4,976.44 is: 7,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.89 : 15,783.78 = 4,976.44 : x
  2. Step 2: Convert to fraction form
    10,523.89/15,783.78 = 4,976.44/x
  3. Step 3: Cross multiply
    10,523.89x = 15,783.78 × 4,976.44
  4. Step 4: Simplify right side
    10,523.89x = 78,546,985.35
  5. Step 5: Solve for x
    x = 78,546,985.35/10,523.89
  6. Step 6: Final answer
    x = 7,463.68

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1.5x scale

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.