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Finding the Fourth Proportional to 3,102.13, 4,653.19 and 910.80

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Solution

The fourth proportional to 3,102.13, 4,653.19 and 910.80 is: 1,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.13 : 4,653.19 = 910.80 : x
  2. Step 2: Convert to fraction form
    3,102.13/4,653.19 = 910.80/x
  3. Step 3: Cross multiply
    3,102.13x = 4,653.19 × 910.80
  4. Step 4: Simplify right side
    3,102.13x = 4,238,125.45
  5. Step 5: Solve for x
    x = 4,238,125.45/3,102.13
  6. Step 6: Final answer
    x = 1,366.20

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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.