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Finding the Fourth Proportional to 3,812.10, 5,717.19 and 1,038.63

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Solution

The fourth proportional to 3,812.10, 5,717.19 and 1,038.63 is: 1,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.10 : 5,717.19 = 1,038.63 : x
  2. Step 2: Convert to fraction form
    3,812.10/5,717.19 = 1,038.63/x
  3. Step 3: Cross multiply
    3,812.10x = 5,717.19 × 1,038.63
  4. Step 4: Simplify right side
    3,812.10x = 5,938,045.05
  5. Step 5: Solve for x
    x = 5,938,045.05/3,812.10
  6. Step 6: Final answer
    x = 1,557.68

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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.