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Finding the Fourth Proportional to 6,403, 9,606.12 and 1,786

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Solution

The fourth proportional to 6,403, 9,606.12 and 1,786 is: 2,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403 : 9,606.12 = 1,786 : x
  2. Step 2: Convert to fraction form
    6,403/9,606.12 = 1,786/x
  3. Step 3: Cross multiply
    6,403x = 9,606.12 × 1,786
  4. Step 4: Simplify right side
    6,403x = 17,156,530.32
  5. Step 5: Solve for x
    x = 17,156,530.32/6,403
  6. Step 6: Final answer
    x = 2,679.45

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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.