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Finding the Fourth Proportional to 1,573.94, 2,172.35 and 910.76

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Solution

The fourth proportional to 1,573.94, 2,172.35 and 910.76 is: 1,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.94 : 2,172.35 = 910.76 : x
  2. Step 2: Convert to fraction form
    1,573.94/2,172.35 = 910.76/x
  3. Step 3: Cross multiply
    1,573.94x = 2,172.35 × 910.76
  4. Step 4: Simplify right side
    1,573.94x = 1,978,489.49
  5. Step 5: Solve for x
    x = 1,978,489.49/1,573.94
  6. Step 6: Final answer
    x = 1,257.03

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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.