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Finding the Fourth Proportional to 10,768.72, 14,847 and 6,985.24

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Solution

The fourth proportional to 10,768.72, 14,847 and 6,985.24 is: 9,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.72 : 14,847 = 6,985.24 : x
  2. Step 2: Convert to fraction form
    10,768.72/14,847 = 6,985.24/x
  3. Step 3: Cross multiply
    10,768.72x = 14,847 × 6,985.24
  4. Step 4: Simplify right side
    10,768.72x = 103,709,858.28
  5. Step 5: Solve for x
    x = 103,709,858.28/10,768.72
  6. Step 6: Final answer
    x = 9,630.66

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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.