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Finding the Fourth Proportional to 1,757.90, 2,624.38 and 1,563.50

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Solution

The fourth proportional to 1,757.90, 2,624.38 and 1,563.50 is: 2,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.90 : 2,624.38 = 1,563.50 : x
  2. Step 2: Convert to fraction form
    1,757.90/2,624.38 = 1,563.50/x
  3. Step 3: Cross multiply
    1,757.90x = 2,624.38 × 1,563.50
  4. Step 4: Simplify right side
    1,757.90x = 4,103,218.13
  5. Step 5: Solve for x
    x = 4,103,218.13/1,757.90
  6. Step 6: Final answer
    x = 2,334.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.