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Finding the Fourth Proportional to 6,402.41, 9,603.59 and 1,785.41

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Solution

The fourth proportional to 6,402.41, 9,603.59 and 1,785.41 is: 2,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.41 : 9,603.59 = 1,785.41 : x
  2. Step 2: Convert to fraction form
    6,402.41/9,603.59 = 1,785.41/x
  3. Step 3: Cross multiply
    6,402.41x = 9,603.59 × 1,785.41
  4. Step 4: Simplify right side
    6,402.41x = 17,146,288.68
  5. Step 5: Solve for x
    x = 17,146,288.68/6,402.41
  6. Step 6: Final answer
    x = 2,678.10

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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.