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Finding the Fourth Proportional to 3,101.84, 4,653.20 and 910.72

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Solution

The fourth proportional to 3,101.84, 4,653.20 and 910.72 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.84 : 4,653.20 = 910.72 : x
  2. Step 2: Convert to fraction form
    3,101.84/4,653.20 = 910.72/x
  3. Step 3: Cross multiply
    3,101.84x = 4,653.20 × 910.72
  4. Step 4: Simplify right side
    3,101.84x = 4,237,762.30
  5. Step 5: Solve for x
    x = 4,237,762.30/3,101.84
  6. Step 6: Final answer
    x = 1,366.21

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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.