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Finding the Fourth Proportional to 6,412.80, 9,626.40 and 4,958.40

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Solution

The fourth proportional to 6,412.80, 9,626.40 and 4,958.40 is: 7,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.80 : 9,626.40 = 4,958.40 : x
  2. Step 2: Convert to fraction form
    6,412.80/9,626.40 = 4,958.40/x
  3. Step 3: Cross multiply
    6,412.80x = 9,626.40 × 4,958.40
  4. Step 4: Simplify right side
    6,412.80x = 47,731,541.76
  5. Step 5: Solve for x
    x = 47,731,541.76/6,412.80
  6. Step 6: Final answer
    x = 7,443.17

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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.