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Finding the Fourth Proportional to 1,573.73, 2,171.67 and 875.06

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Solution

The fourth proportional to 1,573.73, 2,171.67 and 875.06 is: 1,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.73 : 2,171.67 = 875.06 : x
  2. Step 2: Convert to fraction form
    1,573.73/2,171.67 = 875.06/x
  3. Step 3: Cross multiply
    1,573.73x = 2,171.67 × 875.06
  4. Step 4: Simplify right side
    1,573.73x = 1,900,343.70
  5. Step 5: Solve for x
    x = 1,900,343.70/1,573.73
  6. Step 6: Final answer
    x = 1,207.54

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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.