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Finding the Fourth Proportional to 21,781.84, 32,675.66 and 6,985.84

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Solution

The fourth proportional to 21,781.84, 32,675.66 and 6,985.84 is: 10,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.84 : 32,675.66 = 6,985.84 : x
  2. Step 2: Convert to fraction form
    21,781.84/32,675.66 = 6,985.84/x
  3. Step 3: Cross multiply
    21,781.84x = 32,675.66 × 6,985.84
  4. Step 4: Simplify right side
    21,781.84x = 228,266,932.65
  5. Step 5: Solve for x
    x = 228,266,932.65/21,781.84
  6. Step 6: Final answer
    x = 10,479.69

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1.5x scale

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.