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Finding the Fourth Proportional to 5,409.88, 7,461.28 and 3,730.90

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Solution

The fourth proportional to 5,409.88, 7,461.28 and 3,730.90 is: 5,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.88 : 7,461.28 = 3,730.90 : x
  2. Step 2: Convert to fraction form
    5,409.88/7,461.28 = 3,730.90/x
  3. Step 3: Cross multiply
    5,409.88x = 7,461.28 × 3,730.90
  4. Step 4: Simplify right side
    5,409.88x = 27,837,289.55
  5. Step 5: Solve for x
    x = 27,837,289.55/5,409.88
  6. Step 6: Final answer
    x = 5,145.64

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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.