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Finding the Fourth Proportional to 2,825.84, 4,239.02 and 976.70

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Solution

The fourth proportional to 2,825.84, 4,239.02 and 976.70 is: 1,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.84 : 4,239.02 = 976.70 : x
  2. Step 2: Convert to fraction form
    2,825.84/4,239.02 = 976.70/x
  3. Step 3: Cross multiply
    2,825.84x = 4,239.02 × 976.70
  4. Step 4: Simplify right side
    2,825.84x = 4,140,250.83
  5. Step 5: Solve for x
    x = 4,140,250.83/2,825.84
  6. Step 6: Final answer
    x = 1,465.14

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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.