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Finding the Fourth Proportional to 2,807.76, 4,212.12 and 959.06

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Solution

The fourth proportional to 2,807.76, 4,212.12 and 959.06 is: 1,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.76 : 4,212.12 = 959.06 : x
  2. Step 2: Convert to fraction form
    2,807.76/4,212.12 = 959.06/x
  3. Step 3: Cross multiply
    2,807.76x = 4,212.12 × 959.06
  4. Step 4: Simplify right side
    2,807.76x = 4,039,675.81
  5. Step 5: Solve for x
    x = 4,039,675.81/2,807.76
  6. Step 6: Final answer
    x = 1,438.75

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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.