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Finding the Fourth Proportional to 1,563.70, 2,157.75 and 865.03

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Solution

The fourth proportional to 1,563.70, 2,157.75 and 865.03 is: 1,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.70 : 2,157.75 = 865.03 : x
  2. Step 2: Convert to fraction form
    1,563.70/2,157.75 = 865.03/x
  3. Step 3: Cross multiply
    1,563.70x = 2,157.75 × 865.03
  4. Step 4: Simplify right side
    1,563.70x = 1,866,518.48
  5. Step 5: Solve for x
    x = 1,866,518.48/1,563.70
  6. Step 6: Final answer
    x = 1,193.66

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1.5x scale

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.