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Finding the Fourth Proportional to 2,776.92, 4,164.16 and 1,478.08

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Solution

The fourth proportional to 2,776.92, 4,164.16 and 1,478.08 is: 2,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.92 : 4,164.16 = 1,478.08 : x
  2. Step 2: Convert to fraction form
    2,776.92/4,164.16 = 1,478.08/x
  3. Step 3: Cross multiply
    2,776.92x = 4,164.16 × 1,478.08
  4. Step 4: Simplify right side
    2,776.92x = 6,154,961.61
  5. Step 5: Solve for x
    x = 6,154,961.61/2,776.92
  6. Step 6: Final answer
    x = 2,216.47

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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.