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Finding the Fourth Proportional to 1,820, 2,730.10 and 587.32

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Solution

The fourth proportional to 1,820, 2,730.10 and 587.32 is: 881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 2,730.10 = 587.32 : x
  2. Step 2: Convert to fraction form
    1,820/2,730.10 = 587.32/x
  3. Step 3: Cross multiply
    1,820x = 2,730.10 × 587.32
  4. Step 4: Simplify right side
    1,820x = 1,603,442.33
  5. Step 5: Solve for x
    x = 1,603,442.33/1,820
  6. Step 6: Final answer
    x = 881.01

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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.