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Finding the Fourth Proportional to 7,038.10, 9,713.22 and 3,894.88

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Solution

The fourth proportional to 7,038.10, 9,713.22 and 3,894.88 is: 5,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.10 : 9,713.22 = 3,894.88 : x
  2. Step 2: Convert to fraction form
    7,038.10/9,713.22 = 3,894.88/x
  3. Step 3: Cross multiply
    7,038.10x = 9,713.22 × 3,894.88
  4. Step 4: Simplify right side
    7,038.10x = 37,831,826.31
  5. Step 5: Solve for x
    x = 37,831,826.31/7,038.10
  6. Step 6: Final answer
    x = 5,375.29

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1.5x scale

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.