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Finding the Fourth Proportional to 3,281.34, 4,528.98 and 1,884

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Solution

The fourth proportional to 3,281.34, 4,528.98 and 1,884 is: 2,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.34 : 4,528.98 = 1,884 : x
  2. Step 2: Convert to fraction form
    3,281.34/4,528.98 = 1,884/x
  3. Step 3: Cross multiply
    3,281.34x = 4,528.98 × 1,884
  4. Step 4: Simplify right side
    3,281.34x = 8,532,598.32
  5. Step 5: Solve for x
    x = 8,532,598.32/3,281.34
  6. Step 6: Final answer
    x = 2,600.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.