Home / 1,925.76-2,883.84-1,156.80

Finding the Fourth Proportional to 1,925.76, 2,883.84 and 1,156.80

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Solution

The fourth proportional to 1,925.76, 2,883.84 and 1,156.80 is: 1,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.76 : 2,883.84 = 1,156.80 : x
  2. Step 2: Convert to fraction form
    1,925.76/2,883.84 = 1,156.80/x
  3. Step 3: Cross multiply
    1,925.76x = 2,883.84 × 1,156.80
  4. Step 4: Simplify right side
    1,925.76x = 3,336,026.11
  5. Step 5: Solve for x
    x = 3,336,026.11/1,925.76
  6. Step 6: Final answer
    x = 1,732.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.