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Finding the Fourth Proportional to 2,124.20, 3,186.06 and 585

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Solution

The fourth proportional to 2,124.20, 3,186.06 and 585 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.20 : 3,186.06 = 585 : x
  2. Step 2: Convert to fraction form
    2,124.20/3,186.06 = 585/x
  3. Step 3: Cross multiply
    2,124.20x = 3,186.06 × 585
  4. Step 4: Simplify right side
    2,124.20x = 1,863,845.10
  5. Step 5: Solve for x
    x = 1,863,845.10/2,124.20
  6. Step 6: Final answer
    x = 877.43

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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.