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Finding the Fourth Proportional to 9,671.40, 14,539.91 and 7,721.93

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Solution

The fourth proportional to 9,671.40, 14,539.91 and 7,721.93 is: 11,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.40 : 14,539.91 = 7,721.93 : x
  2. Step 2: Convert to fraction form
    9,671.40/14,539.91 = 7,721.93/x
  3. Step 3: Cross multiply
    9,671.40x = 14,539.91 × 7,721.93
  4. Step 4: Simplify right side
    9,671.40x = 112,276,164.97
  5. Step 5: Solve for x
    x = 112,276,164.97/9,671.40
  6. Step 6: Final answer
    x = 11,609.09

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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.