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Finding the Fourth Proportional to 6,402, 9,603.36 and 1,785.36

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Solution

The fourth proportional to 6,402, 9,603.36 and 1,785.36 is: 2,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 9,603.36 = 1,785.36 : x
  2. Step 2: Convert to fraction form
    6,402/9,603.36 = 1,785.36/x
  3. Step 3: Cross multiply
    6,402x = 9,603.36 × 1,785.36
  4. Step 4: Simplify right side
    6,402x = 17,145,454.81
  5. Step 5: Solve for x
    x = 17,145,454.81/6,402
  6. Step 6: Final answer
    x = 2,678.14

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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.