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Finding the Fourth Proportional to 3,506.26, 5,259.40 and 909.40

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Solution

The fourth proportional to 3,506.26, 5,259.40 and 909.40 is: 1,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.26 : 5,259.40 = 909.40 : x
  2. Step 2: Convert to fraction form
    3,506.26/5,259.40 = 909.40/x
  3. Step 3: Cross multiply
    3,506.26x = 5,259.40 × 909.40
  4. Step 4: Simplify right side
    3,506.26x = 4,782,898.36
  5. Step 5: Solve for x
    x = 4,782,898.36/3,506.26
  6. Step 6: Final answer
    x = 1,364.10

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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.