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Finding the Fourth Proportional to 1,885.78, 2,602.53 and 1,046.57

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Solution

The fourth proportional to 1,885.78, 2,602.53 and 1,046.57 is: 1,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.78 : 2,602.53 = 1,046.57 : x
  2. Step 2: Convert to fraction form
    1,885.78/2,602.53 = 1,046.57/x
  3. Step 3: Cross multiply
    1,885.78x = 2,602.53 × 1,046.57
  4. Step 4: Simplify right side
    1,885.78x = 2,723,716.81
  5. Step 5: Solve for x
    x = 2,723,716.81/1,885.78
  6. Step 6: Final answer
    x = 1,444.35

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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.