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Finding the Fourth Proportional to 15,505.98, 21,405.60 and 9,920.22

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Solution

The fourth proportional to 15,505.98, 21,405.60 and 9,920.22 is: 13,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.98 : 21,405.60 = 9,920.22 : x
  2. Step 2: Convert to fraction form
    15,505.98/21,405.60 = 9,920.22/x
  3. Step 3: Cross multiply
    15,505.98x = 21,405.60 × 9,920.22
  4. Step 4: Simplify right side
    15,505.98x = 212,348,261.23
  5. Step 5: Solve for x
    x = 212,348,261.23/15,505.98
  6. Step 6: Final answer
    x = 13,694.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.