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Finding the Fourth Proportional to 3,360, 4,637.40 and 3,212.40

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Solution

The fourth proportional to 3,360, 4,637.40 and 3,212.40 is: 4,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360 : 4,637.40 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    3,360/4,637.40 = 3,212.40/x
  3. Step 3: Cross multiply
    3,360x = 4,637.40 × 3,212.40
  4. Step 4: Simplify right side
    3,360x = 14,897,183.76
  5. Step 5: Solve for x
    x = 14,897,183.76/3,360
  6. Step 6: Final answer
    x = 4,433.69

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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.