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Finding the Fourth Proportional to 3,643.70, 5,465.52 and 907.70

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Solution

The fourth proportional to 3,643.70, 5,465.52 and 907.70 is: 1,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.70 : 5,465.52 = 907.70 : x
  2. Step 2: Convert to fraction form
    3,643.70/5,465.52 = 907.70/x
  3. Step 3: Cross multiply
    3,643.70x = 5,465.52 × 907.70
  4. Step 4: Simplify right side
    3,643.70x = 4,961,052.50
  5. Step 5: Solve for x
    x = 4,961,052.50/3,643.70
  6. Step 6: Final answer
    x = 1,361.54

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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.