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Finding the Fourth Proportional to 1,885.18, 2,826.04 and 652.31

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Solution

The fourth proportional to 1,885.18, 2,826.04 and 652.31 is: 977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.18 : 2,826.04 = 652.31 : x
  2. Step 2: Convert to fraction form
    1,885.18/2,826.04 = 652.31/x
  3. Step 3: Cross multiply
    1,885.18x = 2,826.04 × 652.31
  4. Step 4: Simplify right side
    1,885.18x = 1,843,454.15
  5. Step 5: Solve for x
    x = 1,843,454.15/1,885.18
  6. Step 6: Final answer
    x = 977.87

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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.