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Finding the Fourth Proportional to 2,913.65, 4,019.78 and 1,653.97

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Solution

The fourth proportional to 2,913.65, 4,019.78 and 1,653.97 is: 2,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.65 : 4,019.78 = 1,653.97 : x
  2. Step 2: Convert to fraction form
    2,913.65/4,019.78 = 1,653.97/x
  3. Step 3: Cross multiply
    2,913.65x = 4,019.78 × 1,653.97
  4. Step 4: Simplify right side
    2,913.65x = 6,648,595.53
  5. Step 5: Solve for x
    x = 6,648,595.53/2,913.65
  6. Step 6: Final answer
    x = 2,281.88

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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.