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Finding the Fourth Proportional to 21,180.63, 31,770.95 and 7,329.63

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Solution

The fourth proportional to 21,180.63, 31,770.95 and 7,329.63 is: 10,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.63 : 31,770.95 = 7,329.63 : x
  2. Step 2: Convert to fraction form
    21,180.63/31,770.95 = 7,329.63/x
  3. Step 3: Cross multiply
    21,180.63x = 31,770.95 × 7,329.63
  4. Step 4: Simplify right side
    21,180.63x = 232,869,308.25
  5. Step 5: Solve for x
    x = 232,869,308.25/21,180.63
  6. Step 6: Final answer
    x = 10,994.45

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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.