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Finding the Fourth Proportional to 25,517, 38,275.50 and 9,945.56

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Solution

The fourth proportional to 25,517, 38,275.50 and 9,945.56 is: 14,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517 : 38,275.50 = 9,945.56 : x
  2. Step 2: Convert to fraction form
    25,517/38,275.50 = 9,945.56/x
  3. Step 3: Cross multiply
    25,517x = 38,275.50 × 9,945.56
  4. Step 4: Simplify right side
    25,517x = 380,671,281.78
  5. Step 5: Solve for x
    x = 380,671,281.78/25,517
  6. Step 6: Final answer
    x = 14,918.34

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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.