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Finding the Fourth Proportional to 10,971.72, 16,373.21 and 9,805.32

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Solution

The fourth proportional to 10,971.72, 16,373.21 and 9,805.32 is: 14,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.72 : 16,373.21 = 9,805.32 : x
  2. Step 2: Convert to fraction form
    10,971.72/16,373.21 = 9,805.32/x
  3. Step 3: Cross multiply
    10,971.72x = 16,373.21 × 9,805.32
  4. Step 4: Simplify right side
    10,971.72x = 160,544,563.48
  5. Step 5: Solve for x
    x = 160,544,563.48/10,971.72
  6. Step 6: Final answer
    x = 14,632.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.