Home / 1,107.40-1,651.70-931.90

Finding the Fourth Proportional to 1,107.40, 1,651.70 and 931.90

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Solution

The fourth proportional to 1,107.40, 1,651.70 and 931.90 is: 1,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.40 : 1,651.70 = 931.90 : x
  2. Step 2: Convert to fraction form
    1,107.40/1,651.70 = 931.90/x
  3. Step 3: Cross multiply
    1,107.40x = 1,651.70 × 931.90
  4. Step 4: Simplify right side
    1,107.40x = 1,539,219.23
  5. Step 5: Solve for x
    x = 1,539,219.23/1,107.40
  6. Step 6: Final answer
    x = 1,389.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.