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Finding the Fourth Proportional to 21,764.30, 32,658.74 and 9,283.13

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Solution

The fourth proportional to 21,764.30, 32,658.74 and 9,283.13 is: 13,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.30 : 32,658.74 = 9,283.13 : x
  2. Step 2: Convert to fraction form
    21,764.30/32,658.74 = 9,283.13/x
  3. Step 3: Cross multiply
    21,764.30x = 32,658.74 × 9,283.13
  4. Step 4: Simplify right side
    21,764.30x = 303,175,420.70
  5. Step 5: Solve for x
    x = 303,175,420.70/21,764.30
  6. Step 6: Final answer
    x = 13,929.94

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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.