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Finding the Fourth Proportional to 19,970.96, 29,960.28 and 7,658

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Solution

The fourth proportional to 19,970.96, 29,960.28 and 7,658 is: 11,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.96 : 29,960.28 = 7,658 : x
  2. Step 2: Convert to fraction form
    19,970.96/29,960.28 = 7,658/x
  3. Step 3: Cross multiply
    19,970.96x = 29,960.28 × 7,658
  4. Step 4: Simplify right side
    19,970.96x = 229,435,824.24
  5. Step 5: Solve for x
    x = 229,435,824.24/19,970.96
  6. Step 6: Final answer
    x = 11,488.47

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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.