Home / 1,834.64-2,531.76-1,006.64

Finding the Fourth Proportional to 1,834.64, 2,531.76 and 1,006.64

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Solution

The fourth proportional to 1,834.64, 2,531.76 and 1,006.64 is: 1,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.64 : 2,531.76 = 1,006.64 : x
  2. Step 2: Convert to fraction form
    1,834.64/2,531.76 = 1,006.64/x
  3. Step 3: Cross multiply
    1,834.64x = 2,531.76 × 1,006.64
  4. Step 4: Simplify right side
    1,834.64x = 2,548,570.89
  5. Step 5: Solve for x
    x = 2,548,570.89/1,834.64
  6. Step 6: Final answer
    x = 1,389.14

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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.