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Finding the Fourth Proportional to 3,101.79, 4,651.10 and 910.24

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Solution

The fourth proportional to 3,101.79, 4,651.10 and 910.24 is: 1,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.79 : 4,651.10 = 910.24 : x
  2. Step 2: Convert to fraction form
    3,101.79/4,651.10 = 910.24/x
  3. Step 3: Cross multiply
    3,101.79x = 4,651.10 × 910.24
  4. Step 4: Simplify right side
    3,101.79x = 4,233,601.94
  5. Step 5: Solve for x
    x = 4,233,601.94/3,101.79
  6. Step 6: Final answer
    x = 1,364.89

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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.