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Finding the Fourth Proportional to 9,419.40, 12,996.90 and 5,693.40

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Solution

The fourth proportional to 9,419.40, 12,996.90 and 5,693.40 is: 7,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.40 : 12,996.90 = 5,693.40 : x
  2. Step 2: Convert to fraction form
    9,419.40/12,996.90 = 5,693.40/x
  3. Step 3: Cross multiply
    9,419.40x = 12,996.90 × 5,693.40
  4. Step 4: Simplify right side
    9,419.40x = 73,996,550.46
  5. Step 5: Solve for x
    x = 73,996,550.46/9,419.40
  6. Step 6: Final answer
    x = 7,855.76

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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.