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Finding the Fourth Proportional to 2,406.32, 3,319.08 and 2,160.08

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Solution

The fourth proportional to 2,406.32, 3,319.08 and 2,160.08 is: 2,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.32 : 3,319.08 = 2,160.08 : x
  2. Step 2: Convert to fraction form
    2,406.32/3,319.08 = 2,160.08/x
  3. Step 3: Cross multiply
    2,406.32x = 3,319.08 × 2,160.08
  4. Step 4: Simplify right side
    2,406.32x = 7,169,478.33
  5. Step 5: Solve for x
    x = 7,169,478.33/2,406.32
  6. Step 6: Final answer
    x = 2,979.44

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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.