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Finding the Fourth Proportional to 2,807.56, 4,212.56 and 1,077.40

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Solution

The fourth proportional to 2,807.56, 4,212.56 and 1,077.40 is: 1,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.56 : 4,212.56 = 1,077.40 : x
  2. Step 2: Convert to fraction form
    2,807.56/4,212.56 = 1,077.40/x
  3. Step 3: Cross multiply
    2,807.56x = 4,212.56 × 1,077.40
  4. Step 4: Simplify right side
    2,807.56x = 4,538,612.14
  5. Step 5: Solve for x
    x = 4,538,612.14/2,807.56
  6. Step 6: Final answer
    x = 1,616.57

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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.