Home / 3,534-4,874.28-2,977.52

Finding the Fourth Proportional to 3,534, 4,874.28 and 2,977.52

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Solution

The fourth proportional to 3,534, 4,874.28 and 2,977.52 is: 4,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 4,874.28 = 2,977.52 : x
  2. Step 2: Convert to fraction form
    3,534/4,874.28 = 2,977.52/x
  3. Step 3: Cross multiply
    3,534x = 4,874.28 × 2,977.52
  4. Step 4: Simplify right side
    3,534x = 14,513,266.19
  5. Step 5: Solve for x
    x = 14,513,266.19/3,534
  6. Step 6: Final answer
    x = 4,106.75

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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.