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Finding the Fourth Proportional to 2,642.55, 3,964.10 and 910.77

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Solution

The fourth proportional to 2,642.55, 3,964.10 and 910.77 is: 1,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.55 : 3,964.10 = 910.77 : x
  2. Step 2: Convert to fraction form
    2,642.55/3,964.10 = 910.77/x
  3. Step 3: Cross multiply
    2,642.55x = 3,964.10 × 910.77
  4. Step 4: Simplify right side
    2,642.55x = 3,610,378.80
  5. Step 5: Solve for x
    x = 3,610,378.80/2,642.55
  6. Step 6: Final answer
    x = 1,366.25

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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.