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Finding the Fourth Proportional to 1,369.58, 1,888.38 and 1,146.02

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Solution

The fourth proportional to 1,369.58, 1,888.38 and 1,146.02 is: 1,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.58 : 1,888.38 = 1,146.02 : x
  2. Step 2: Convert to fraction form
    1,369.58/1,888.38 = 1,146.02/x
  3. Step 3: Cross multiply
    1,369.58x = 1,888.38 × 1,146.02
  4. Step 4: Simplify right side
    1,369.58x = 2,164,121.25
  5. Step 5: Solve for x
    x = 2,164,121.25/1,369.58
  6. Step 6: Final answer
    x = 1,580.13

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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.