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Finding the Fourth Proportional to 6,415.32, 9,624.02 and 1,972.86

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Solution

The fourth proportional to 6,415.32, 9,624.02 and 1,972.86 is: 2,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.32 : 9,624.02 = 1,972.86 : x
  2. Step 2: Convert to fraction form
    6,415.32/9,624.02 = 1,972.86/x
  3. Step 3: Cross multiply
    6,415.32x = 9,624.02 × 1,972.86
  4. Step 4: Simplify right side
    6,415.32x = 18,986,834.23
  5. Step 5: Solve for x
    x = 18,986,834.23/6,415.32
  6. Step 6: Final answer
    x = 2,959.61

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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.