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Finding the Fourth Proportional to 2,155.85, 2,973.80 and 1,358.85

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Solution

The fourth proportional to 2,155.85, 2,973.80 and 1,358.85 is: 1,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.85 : 2,973.80 = 1,358.85 : x
  2. Step 2: Convert to fraction form
    2,155.85/2,973.80 = 1,358.85/x
  3. Step 3: Cross multiply
    2,155.85x = 2,973.80 × 1,358.85
  4. Step 4: Simplify right side
    2,155.85x = 4,040,941.34
  5. Step 5: Solve for x
    x = 4,040,941.34/2,155.85
  6. Step 6: Final answer
    x = 1,874.41

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1.5x scale

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.