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Finding the Fourth Proportional to 4,724, 7,086.02 and 1,646

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Solution

The fourth proportional to 4,724, 7,086.02 and 1,646 is: 2,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724 : 7,086.02 = 1,646 : x
  2. Step 2: Convert to fraction form
    4,724/7,086.02 = 1,646/x
  3. Step 3: Cross multiply
    4,724x = 7,086.02 × 1,646
  4. Step 4: Simplify right side
    4,724x = 11,663,588.92
  5. Step 5: Solve for x
    x = 11,663,588.92/4,724
  6. Step 6: Final answer
    x = 2,469.01

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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.