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Finding the Fourth Proportional to 1,916.57, 2,874.78 and 618

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Solution

The fourth proportional to 1,916.57, 2,874.78 and 618 is: 926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.57 : 2,874.78 = 618 : x
  2. Step 2: Convert to fraction form
    1,916.57/2,874.78 = 618/x
  3. Step 3: Cross multiply
    1,916.57x = 2,874.78 × 618
  4. Step 4: Simplify right side
    1,916.57x = 1,776,614.04
  5. Step 5: Solve for x
    x = 1,776,614.04/1,916.57
  6. Step 6: Final answer
    x = 926.98

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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.