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Finding the Fourth Proportional to 6,402, 9,603.11 and 1,785

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Solution

The fourth proportional to 6,402, 9,603.11 and 1,785 is: 2,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 9,603.11 = 1,785 : x
  2. Step 2: Convert to fraction form
    6,402/9,603.11 = 1,785/x
  3. Step 3: Cross multiply
    6,402x = 9,603.11 × 1,785
  4. Step 4: Simplify right side
    6,402x = 17,141,542.43
  5. Step 5: Solve for x
    x = 17,141,542.43/6,402
  6. Step 6: Final answer
    x = 2,677.53

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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.