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Finding the Fourth Proportional to 2,646.18, 3,969.23 and 891.57

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Solution

The fourth proportional to 2,646.18, 3,969.23 and 891.57 is: 1,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.18 : 3,969.23 = 891.57 : x
  2. Step 2: Convert to fraction form
    2,646.18/3,969.23 = 891.57/x
  3. Step 3: Cross multiply
    2,646.18x = 3,969.23 × 891.57
  4. Step 4: Simplify right side
    2,646.18x = 3,538,841.93
  5. Step 5: Solve for x
    x = 3,538,841.93/2,646.18
  6. Step 6: Final answer
    x = 1,337.34

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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.