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Finding the Fourth Proportional to 1,225.76, 1,829.71 and 1,135.52

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Solution

The fourth proportional to 1,225.76, 1,829.71 and 1,135.52 is: 1,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.76 : 1,829.71 = 1,135.52 : x
  2. Step 2: Convert to fraction form
    1,225.76/1,829.71 = 1,135.52/x
  3. Step 3: Cross multiply
    1,225.76x = 1,829.71 × 1,135.52
  4. Step 4: Simplify right side
    1,225.76x = 2,077,672.30
  5. Step 5: Solve for x
    x = 2,077,672.30/1,225.76
  6. Step 6: Final answer
    x = 1,695.01

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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.