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Finding the Fourth Proportional to 3,503.40, 5,254.68 and 906.54

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Solution

The fourth proportional to 3,503.40, 5,254.68 and 906.54 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.40 : 5,254.68 = 906.54 : x
  2. Step 2: Convert to fraction form
    3,503.40/5,254.68 = 906.54/x
  3. Step 3: Cross multiply
    3,503.40x = 5,254.68 × 906.54
  4. Step 4: Simplify right side
    3,503.40x = 4,763,577.61
  5. Step 5: Solve for x
    x = 4,763,577.61/3,503.40
  6. Step 6: Final answer
    x = 1,359.70

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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.