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Finding the Fourth Proportional to 1,570.75, 2,167.70 and 872.26

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Solution

The fourth proportional to 1,570.75, 2,167.70 and 872.26 is: 1,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.75 : 2,167.70 = 872.26 : x
  2. Step 2: Convert to fraction form
    1,570.75/2,167.70 = 872.26/x
  3. Step 3: Cross multiply
    1,570.75x = 2,167.70 × 872.26
  4. Step 4: Simplify right side
    1,570.75x = 1,890,798.00
  5. Step 5: Solve for x
    x = 1,890,798.00/1,570.75
  6. Step 6: Final answer
    x = 1,203.75

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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.