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Finding the Fourth Proportional to 4,946.60, 7,411.80 and 4,120.40

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Solution

The fourth proportional to 4,946.60, 7,411.80 and 4,120.40 is: 6,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.60 : 7,411.80 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    4,946.60/7,411.80 = 4,120.40/x
  3. Step 3: Cross multiply
    4,946.60x = 7,411.80 × 4,120.40
  4. Step 4: Simplify right side
    4,946.60x = 30,539,580.72
  5. Step 5: Solve for x
    x = 30,539,580.72/4,946.60
  6. Step 6: Final answer
    x = 6,173.85

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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.