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Finding the Fourth Proportional to 15,538.05, 21,444 and 9,573.21

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Solution

The fourth proportional to 15,538.05, 21,444 and 9,573.21 is: 13,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.05 : 21,444 = 9,573.21 : x
  2. Step 2: Convert to fraction form
    15,538.05/21,444 = 9,573.21/x
  3. Step 3: Cross multiply
    15,538.05x = 21,444 × 9,573.21
  4. Step 4: Simplify right side
    15,538.05x = 205,287,915.24
  5. Step 5: Solve for x
    x = 205,287,915.24/15,538.05
  6. Step 6: Final answer
    x = 13,211.95

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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.