Home / 1,782.72-2,461.23-1,153.53

Finding the Fourth Proportional to 1,782.72, 2,461.23 and 1,153.53

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Solution

The fourth proportional to 1,782.72, 2,461.23 and 1,153.53 is: 1,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.72 : 2,461.23 = 1,153.53 : x
  2. Step 2: Convert to fraction form
    1,782.72/2,461.23 = 1,153.53/x
  3. Step 3: Cross multiply
    1,782.72x = 2,461.23 × 1,153.53
  4. Step 4: Simplify right side
    1,782.72x = 2,839,102.64
  5. Step 5: Solve for x
    x = 2,839,102.64/1,782.72
  6. Step 6: Final answer
    x = 1,592.57

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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.