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Finding the Fourth Proportional to 2,866.84, 3,956.93 and 1,925.28

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Solution

The fourth proportional to 2,866.84, 3,956.93 and 1,925.28 is: 2,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.84 : 3,956.93 = 1,925.28 : x
  2. Step 2: Convert to fraction form
    2,866.84/3,956.93 = 1,925.28/x
  3. Step 3: Cross multiply
    2,866.84x = 3,956.93 × 1,925.28
  4. Step 4: Simplify right side
    2,866.84x = 7,618,198.19
  5. Step 5: Solve for x
    x = 7,618,198.19/2,866.84
  6. Step 6: Final answer
    x = 2,657.35

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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.