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Finding the Fourth Proportional to 15,314.31, 21,133.04 and 9,025.47

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Solution

The fourth proportional to 15,314.31, 21,133.04 and 9,025.47 is: 12,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.31 : 21,133.04 = 9,025.47 : x
  2. Step 2: Convert to fraction form
    15,314.31/21,133.04 = 9,025.47/x
  3. Step 3: Cross multiply
    15,314.31x = 21,133.04 × 9,025.47
  4. Step 4: Simplify right side
    15,314.31x = 190,735,573.40
  5. Step 5: Solve for x
    x = 190,735,573.40/15,314.31
  6. Step 6: Final answer
    x = 12,454.73

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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.