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Finding the Fourth Proportional to 2,826.84, 4,238.90 and 977.31

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Solution

The fourth proportional to 2,826.84, 4,238.90 and 977.31 is: 1,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.84 : 4,238.90 = 977.31 : x
  2. Step 2: Convert to fraction form
    2,826.84/4,238.90 = 977.31/x
  3. Step 3: Cross multiply
    2,826.84x = 4,238.90 × 977.31
  4. Step 4: Simplify right side
    2,826.84x = 4,142,719.36
  5. Step 5: Solve for x
    x = 4,142,719.36/2,826.84
  6. Step 6: Final answer
    x = 1,465.49

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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.