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Finding the Fourth Proportional to 21,860.75, 32,782.93 and 7,065.70

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Solution

The fourth proportional to 21,860.75, 32,782.93 and 7,065.70 is: 10,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860.75 : 32,782.93 = 7,065.70 : x
  2. Step 2: Convert to fraction form
    21,860.75/32,782.93 = 7,065.70/x
  3. Step 3: Cross multiply
    21,860.75x = 32,782.93 × 7,065.70
  4. Step 4: Simplify right side
    21,860.75x = 231,634,248.88
  5. Step 5: Solve for x
    x = 231,634,248.88/21,860.75
  6. Step 6: Final answer
    x = 10,595.90

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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.