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Finding the Fourth Proportional to 2,646.79, 3,970.23 and 891.84

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Solution

The fourth proportional to 2,646.79, 3,970.23 and 891.84 is: 1,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.79 : 3,970.23 = 891.84 : x
  2. Step 2: Convert to fraction form
    2,646.79/3,970.23 = 891.84/x
  3. Step 3: Cross multiply
    2,646.79x = 3,970.23 × 891.84
  4. Step 4: Simplify right side
    2,646.79x = 3,540,809.92
  5. Step 5: Solve for x
    x = 3,540,809.92/2,646.79
  6. Step 6: Final answer
    x = 1,337.78

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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.