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Finding the Fourth Proportional to 3,210.80, 4,823.40 and 3,124.40

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Solution

The fourth proportional to 3,210.80, 4,823.40 and 3,124.40 is: 4,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.80 : 4,823.40 = 3,124.40 : x
  2. Step 2: Convert to fraction form
    3,210.80/4,823.40 = 3,124.40/x
  3. Step 3: Cross multiply
    3,210.80x = 4,823.40 × 3,124.40
  4. Step 4: Simplify right side
    3,210.80x = 15,070,230.96
  5. Step 5: Solve for x
    x = 15,070,230.96/3,210.80
  6. Step 6: Final answer
    x = 4,693.61

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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.