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Finding the Fourth Proportional to 2,970.92, 4,091.10 and 2,382.32

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Solution

The fourth proportional to 2,970.92, 4,091.10 and 2,382.32 is: 3,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.92 : 4,091.10 = 2,382.32 : x
  2. Step 2: Convert to fraction form
    2,970.92/4,091.10 = 2,382.32/x
  3. Step 3: Cross multiply
    2,970.92x = 4,091.10 × 2,382.32
  4. Step 4: Simplify right side
    2,970.92x = 9,746,309.35
  5. Step 5: Solve for x
    x = 9,746,309.35/2,970.92
  6. Step 6: Final answer
    x = 3,280.57

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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.