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Finding the Fourth Proportional to 10,616.94, 15,910.32 and 7,821.60

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Solution

The fourth proportional to 10,616.94, 15,910.32 and 7,821.60 is: 11,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.94 : 15,910.32 = 7,821.60 : x
  2. Step 2: Convert to fraction form
    10,616.94/15,910.32 = 7,821.60/x
  3. Step 3: Cross multiply
    10,616.94x = 15,910.32 × 7,821.60
  4. Step 4: Simplify right side
    10,616.94x = 124,444,158.91
  5. Step 5: Solve for x
    x = 124,444,158.91/10,616.94
  6. Step 6: Final answer
    x = 11,721.28

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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.