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Finding the Fourth Proportional to 8,313.40, 12,434.10 and 7,442.20

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Solution

The fourth proportional to 8,313.40, 12,434.10 and 7,442.20 is: 11,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.40 : 12,434.10 = 7,442.20 : x
  2. Step 2: Convert to fraction form
    8,313.40/12,434.10 = 7,442.20/x
  3. Step 3: Cross multiply
    8,313.40x = 12,434.10 × 7,442.20
  4. Step 4: Simplify right side
    8,313.40x = 92,537,059.02
  5. Step 5: Solve for x
    x = 92,537,059.02/8,313.40
  6. Step 6: Final answer
    x = 11,131.07

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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.