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Finding the Fourth Proportional to 1,862, 2,574.36 and 1,780.40

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Solution

The fourth proportional to 1,862, 2,574.36 and 1,780.40 is: 2,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862 : 2,574.36 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    1,862/2,574.36 = 1,780.40/x
  3. Step 3: Cross multiply
    1,862x = 2,574.36 × 1,780.40
  4. Step 4: Simplify right side
    1,862x = 4,583,390.54
  5. Step 5: Solve for x
    x = 4,583,390.54/1,862
  6. Step 6: Final answer
    x = 2,461.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.