Home / 1,677.28-2,314.54-931.24

Finding the Fourth Proportional to 1,677.28, 2,314.54 and 931.24

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Solution

The fourth proportional to 1,677.28, 2,314.54 and 931.24 is: 1,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.28 : 2,314.54 = 931.24 : x
  2. Step 2: Convert to fraction form
    1,677.28/2,314.54 = 931.24/x
  3. Step 3: Cross multiply
    1,677.28x = 2,314.54 × 931.24
  4. Step 4: Simplify right side
    1,677.28x = 2,155,392.23
  5. Step 5: Solve for x
    x = 2,155,392.23/1,677.28
  6. Step 6: Final answer
    x = 1,285.05

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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.