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Finding the Fourth Proportional to 6,339.57, 9,510.47 and 2,180.01

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Solution

The fourth proportional to 6,339.57, 9,510.47 and 2,180.01 is: 3,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.57 : 9,510.47 = 2,180.01 : x
  2. Step 2: Convert to fraction form
    6,339.57/9,510.47 = 2,180.01/x
  3. Step 3: Cross multiply
    6,339.57x = 9,510.47 × 2,180.01
  4. Step 4: Simplify right side
    6,339.57x = 20,732,908.80
  5. Step 5: Solve for x
    x = 20,732,908.80/6,339.57
  6. Step 6: Final answer
    x = 3,270.40

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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.