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Finding the Fourth Proportional to 9,946.72, 13,816.44 and 9,788

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Solution

The fourth proportional to 9,946.72, 13,816.44 and 9,788 is: 13,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.72 : 13,816.44 = 9,788 : x
  2. Step 2: Convert to fraction form
    9,946.72/13,816.44 = 9,788/x
  3. Step 3: Cross multiply
    9,946.72x = 13,816.44 × 9,788
  4. Step 4: Simplify right side
    9,946.72x = 135,235,314.72
  5. Step 5: Solve for x
    x = 135,235,314.72/9,946.72
  6. Step 6: Final answer
    x = 13,595.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.