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Finding the Fourth Proportional to 6,431.40, 8,871.12 and 5,103

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Solution

The fourth proportional to 6,431.40, 8,871.12 and 5,103 is: 7,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.40 : 8,871.12 = 5,103 : x
  2. Step 2: Convert to fraction form
    6,431.40/8,871.12 = 5,103/x
  3. Step 3: Cross multiply
    6,431.40x = 8,871.12 × 5,103
  4. Step 4: Simplify right side
    6,431.40x = 45,269,325.36
  5. Step 5: Solve for x
    x = 45,269,325.36/6,431.40
  6. Step 6: Final answer
    x = 7,038.80

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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.