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Finding the Fourth Proportional to 1,237.79, 1,865.39 and 1,114.55

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Solution

The fourth proportional to 1,237.79, 1,865.39 and 1,114.55 is: 1,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.79 : 1,865.39 = 1,114.55 : x
  2. Step 2: Convert to fraction form
    1,237.79/1,865.39 = 1,114.55/x
  3. Step 3: Cross multiply
    1,237.79x = 1,865.39 × 1,114.55
  4. Step 4: Simplify right side
    1,237.79x = 2,079,070.42
  5. Step 5: Solve for x
    x = 2,079,070.42/1,237.79
  6. Step 6: Final answer
    x = 1,679.66

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