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Finding the Fourth Proportional to 2,686.59, 4,030.08 and 837.57

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Solution

The fourth proportional to 2,686.59, 4,030.08 and 837.57 is: 1,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.59 : 4,030.08 = 837.57 : x
  2. Step 2: Convert to fraction form
    2,686.59/4,030.08 = 837.57/x
  3. Step 3: Cross multiply
    2,686.59x = 4,030.08 × 837.57
  4. Step 4: Simplify right side
    2,686.59x = 3,375,474.11
  5. Step 5: Solve for x
    x = 3,375,474.11/2,686.59
  6. Step 6: Final answer
    x = 1,256.42

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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.