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Finding the Fourth Proportional to 2,801.60, 4,191.60 and 1,829.60

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Solution

The fourth proportional to 2,801.60, 4,191.60 and 1,829.60 is: 2,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.60 : 4,191.60 = 1,829.60 : x
  2. Step 2: Convert to fraction form
    2,801.60/4,191.60 = 1,829.60/x
  3. Step 3: Cross multiply
    2,801.60x = 4,191.60 × 1,829.60
  4. Step 4: Simplify right side
    2,801.60x = 7,668,951.36
  5. Step 5: Solve for x
    x = 7,668,951.36/2,801.60
  6. Step 6: Final answer
    x = 2,737.35

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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.