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Finding the Fourth Proportional to 4,937.60, 7,406.40 and 1,650.80

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Solution

The fourth proportional to 4,937.60, 7,406.40 and 1,650.80 is: 2,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.60 : 7,406.40 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    4,937.60/7,406.40 = 1,650.80/x
  3. Step 3: Cross multiply
    4,937.60x = 7,406.40 × 1,650.80
  4. Step 4: Simplify right side
    4,937.60x = 12,226,485.12
  5. Step 5: Solve for x
    x = 12,226,485.12/4,937.60
  6. Step 6: Final answer
    x = 2,476.20

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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.