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Finding the Fourth Proportional to 19,605.56, 29,402.14 and 6,455

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Solution

The fourth proportional to 19,605.56, 29,402.14 and 6,455 is: 9,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.56 : 29,402.14 = 6,455 : x
  2. Step 2: Convert to fraction form
    19,605.56/29,402.14 = 6,455/x
  3. Step 3: Cross multiply
    19,605.56x = 29,402.14 × 6,455
  4. Step 4: Simplify right side
    19,605.56x = 189,790,813.70
  5. Step 5: Solve for x
    x = 189,790,813.70/19,605.56
  6. Step 6: Final answer
    x = 9,680.46

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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.