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Finding the Fourth Proportional to 5,381.63, 8,072.43 and 1,916.45

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Solution

The fourth proportional to 5,381.63, 8,072.43 and 1,916.45 is: 2,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.63 : 8,072.43 = 1,916.45 : x
  2. Step 2: Convert to fraction form
    5,381.63/8,072.43 = 1,916.45/x
  3. Step 3: Cross multiply
    5,381.63x = 8,072.43 × 1,916.45
  4. Step 4: Simplify right side
    5,381.63x = 15,470,368.11
  5. Step 5: Solve for x
    x = 15,470,368.11/5,381.63
  6. Step 6: Final answer
    x = 2,874.66

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1.5x scale

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.