Home / 1,225.38-1,829.58-1,102.53

Finding the Fourth Proportional to 1,225.38, 1,829.58 and 1,102.53

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Solution

The fourth proportional to 1,225.38, 1,829.58 and 1,102.53 is: 1,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.38 : 1,829.58 = 1,102.53 : x
  2. Step 2: Convert to fraction form
    1,225.38/1,829.58 = 1,102.53/x
  3. Step 3: Cross multiply
    1,225.38x = 1,829.58 × 1,102.53
  4. Step 4: Simplify right side
    1,225.38x = 2,017,166.84
  5. Step 5: Solve for x
    x = 2,017,166.84/1,225.38
  6. Step 6: Final answer
    x = 1,646.16

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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.