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Finding the Fourth Proportional to 1,728.90, 2,602.70 and 1,575.81

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Solution

The fourth proportional to 1,728.90, 2,602.70 and 1,575.81 is: 2,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.90 : 2,602.70 = 1,575.81 : x
  2. Step 2: Convert to fraction form
    1,728.90/2,602.70 = 1,575.81/x
  3. Step 3: Cross multiply
    1,728.90x = 2,602.70 × 1,575.81
  4. Step 4: Simplify right side
    1,728.90x = 4,101,352.81
  5. Step 5: Solve for x
    x = 4,101,352.81/1,728.90
  6. Step 6: Final answer
    x = 2,372.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.