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Finding the Fourth Proportional to 2,829.40, 4,244.10 and 881.80

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Solution

The fourth proportional to 2,829.40, 4,244.10 and 881.80 is: 1,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.40 : 4,244.10 = 881.80 : x
  2. Step 2: Convert to fraction form
    2,829.40/4,244.10 = 881.80/x
  3. Step 3: Cross multiply
    2,829.40x = 4,244.10 × 881.80
  4. Step 4: Simplify right side
    2,829.40x = 3,742,447.38
  5. Step 5: Solve for x
    x = 3,742,447.38/2,829.40
  6. Step 6: Final answer
    x = 1,322.70

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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.