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Finding the Fourth Proportional to 1,718.12, 2,580.10 and 1,633

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Solution

The fourth proportional to 1,718.12, 2,580.10 and 1,633 is: 2,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.12 : 2,580.10 = 1,633 : x
  2. Step 2: Convert to fraction form
    1,718.12/2,580.10 = 1,633/x
  3. Step 3: Cross multiply
    1,718.12x = 2,580.10 × 1,633
  4. Step 4: Simplify right side
    1,718.12x = 4,213,303.30
  5. Step 5: Solve for x
    x = 4,213,303.30/1,718.12
  6. Step 6: Final answer
    x = 2,452.28

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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.