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Finding the Fourth Proportional to 1,885.73, 2,602.56 and 1,570.53

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Solution

The fourth proportional to 1,885.73, 2,602.56 and 1,570.53 is: 2,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.73 : 2,602.56 = 1,570.53 : x
  2. Step 2: Convert to fraction form
    1,885.73/2,602.56 = 1,570.53/x
  3. Step 3: Cross multiply
    1,885.73x = 2,602.56 × 1,570.53
  4. Step 4: Simplify right side
    1,885.73x = 4,087,414.21
  5. Step 5: Solve for x
    x = 4,087,414.21/1,885.73
  6. Step 6: Final answer
    x = 2,167.56

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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.