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Finding the Fourth Proportional to 2,920, 4,028.40 and 1,925.76

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Solution

The fourth proportional to 2,920, 4,028.40 and 1,925.76 is: 2,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920 : 4,028.40 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    2,920/4,028.40 = 1,925.76/x
  3. Step 3: Cross multiply
    2,920x = 4,028.40 × 1,925.76
  4. Step 4: Simplify right side
    2,920x = 7,757,731.58
  5. Step 5: Solve for x
    x = 7,757,731.58/2,920
  6. Step 6: Final answer
    x = 2,656.76

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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.