Home / 1,103.47-1,654.80-931.36

Finding the Fourth Proportional to 1,103.47, 1,654.80 and 931.36

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Solution

The fourth proportional to 1,103.47, 1,654.80 and 931.36 is: 1,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.47 : 1,654.80 = 931.36 : x
  2. Step 2: Convert to fraction form
    1,103.47/1,654.80 = 931.36/x
  3. Step 3: Cross multiply
    1,103.47x = 1,654.80 × 931.36
  4. Step 4: Simplify right side
    1,103.47x = 1,541,214.53
  5. Step 5: Solve for x
    x = 1,541,214.53/1,103.47
  6. Step 6: Final answer
    x = 1,396.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.