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Finding the Fourth Proportional to 21,710.82, 32,570.13 and 7,678.98

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Solution

The fourth proportional to 21,710.82, 32,570.13 and 7,678.98 is: 11,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.82 : 32,570.13 = 7,678.98 : x
  2. Step 2: Convert to fraction form
    21,710.82/32,570.13 = 7,678.98/x
  3. Step 3: Cross multiply
    21,710.82x = 32,570.13 × 7,678.98
  4. Step 4: Simplify right side
    21,710.82x = 250,105,376.87
  5. Step 5: Solve for x
    x = 250,105,376.87/21,710.82
  6. Step 6: Final answer
    x = 11,519.85

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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.