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Finding the Fourth Proportional to 2,503.40, 3,454.70 and 1,384.40

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Solution

The fourth proportional to 2,503.40, 3,454.70 and 1,384.40 is: 1,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.40 : 3,454.70 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    2,503.40/3,454.70 = 1,384.40/x
  3. Step 3: Cross multiply
    2,503.40x = 3,454.70 × 1,384.40
  4. Step 4: Simplify right side
    2,503.40x = 4,782,686.68
  5. Step 5: Solve for x
    x = 4,782,686.68/2,503.40
  6. Step 6: Final answer
    x = 1,910.48

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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.