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Finding the Fourth Proportional to 15,752.25, 21,741.24 and 9,042.39

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Solution

The fourth proportional to 15,752.25, 21,741.24 and 9,042.39 is: 12,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.25 : 21,741.24 = 9,042.39 : x
  2. Step 2: Convert to fraction form
    15,752.25/21,741.24 = 9,042.39/x
  3. Step 3: Cross multiply
    15,752.25x = 21,741.24 × 9,042.39
  4. Step 4: Simplify right side
    15,752.25x = 196,592,771.16
  5. Step 5: Solve for x
    x = 196,592,771.16/15,752.25
  6. Step 6: Final answer
    x = 12,480.30

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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.