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Finding the Fourth Proportional to 3,842.60, 5,760.05 and 2,457.50

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Solution

The fourth proportional to 3,842.60, 5,760.05 and 2,457.50 is: 3,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.60 : 5,760.05 = 2,457.50 : x
  2. Step 2: Convert to fraction form
    3,842.60/5,760.05 = 2,457.50/x
  3. Step 3: Cross multiply
    3,842.60x = 5,760.05 × 2,457.50
  4. Step 4: Simplify right side
    3,842.60x = 14,155,281.79
  5. Step 5: Solve for x
    x = 14,155,281.79/3,842.60
  6. Step 6: Final answer
    x = 3,683.78

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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.