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Finding the Fourth Proportional to 6,415.40, 9,624.96 and 3,130.40

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Solution

The fourth proportional to 6,415.40, 9,624.96 and 3,130.40 is: 4,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.40 : 9,624.96 = 3,130.40 : x
  2. Step 2: Convert to fraction form
    6,415.40/9,624.96 = 3,130.40/x
  3. Step 3: Cross multiply
    6,415.40x = 9,624.96 × 3,130.40
  4. Step 4: Simplify right side
    6,415.40x = 30,129,974.78
  5. Step 5: Solve for x
    x = 30,129,974.78/6,415.40
  6. Step 6: Final answer
    x = 4,696.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.