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Finding the Fourth Proportional to 7,043.40, 9,719.16 and 3,899.40

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Solution

The fourth proportional to 7,043.40, 9,719.16 and 3,899.40 is: 5,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.40 : 9,719.16 = 3,899.40 : x
  2. Step 2: Convert to fraction form
    7,043.40/9,719.16 = 3,899.40/x
  3. Step 3: Cross multiply
    7,043.40x = 9,719.16 × 3,899.40
  4. Step 4: Simplify right side
    7,043.40x = 37,898,892.50
  5. Step 5: Solve for x
    x = 37,898,892.50/7,043.40
  6. Step 6: Final answer
    x = 5,380.77

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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.