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Finding the Fourth Proportional to 3,503.64, 5,255.35 and 1,423.03

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Solution

The fourth proportional to 3,503.64, 5,255.35 and 1,423.03 is: 2,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.64 : 5,255.35 = 1,423.03 : x
  2. Step 2: Convert to fraction form
    3,503.64/5,255.35 = 1,423.03/x
  3. Step 3: Cross multiply
    3,503.64x = 5,255.35 × 1,423.03
  4. Step 4: Simplify right side
    3,503.64x = 7,478,534.65
  5. Step 5: Solve for x
    x = 7,478,534.65/3,503.64
  6. Step 6: Final answer
    x = 2,134.50

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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.