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Finding the Fourth Proportional to 10,616.94, 15,921.09 and 7,670.70

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Solution

The fourth proportional to 10,616.94, 15,921.09 and 7,670.70 is: 11,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.94 : 15,921.09 = 7,670.70 : x
  2. Step 2: Convert to fraction form
    10,616.94/15,921.09 = 7,670.70/x
  3. Step 3: Cross multiply
    10,616.94x = 15,921.09 × 7,670.70
  4. Step 4: Simplify right side
    10,616.94x = 122,125,905.06
  5. Step 5: Solve for x
    x = 122,125,905.06/10,616.94
  6. Step 6: Final answer
    x = 11,502.93

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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.