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Finding the Fourth Proportional to 3,153.32, 4,728.36 and 1,421

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Solution

The fourth proportional to 3,153.32, 4,728.36 and 1,421 is: 2,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.32 : 4,728.36 = 1,421 : x
  2. Step 2: Convert to fraction form
    3,153.32/4,728.36 = 1,421/x
  3. Step 3: Cross multiply
    3,153.32x = 4,728.36 × 1,421
  4. Step 4: Simplify right side
    3,153.32x = 6,718,999.56
  5. Step 5: Solve for x
    x = 6,718,999.56/3,153.32
  6. Step 6: Final answer
    x = 2,130.77

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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.