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Finding the Fourth Proportional to 25,981, 35,865.76 and 15,224.38

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Solution

The fourth proportional to 25,981, 35,865.76 and 15,224.38 is: 21,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981 : 35,865.76 = 15,224.38 : x
  2. Step 2: Convert to fraction form
    25,981/35,865.76 = 15,224.38/x
  3. Step 3: Cross multiply
    25,981x = 35,865.76 × 15,224.38
  4. Step 4: Simplify right side
    25,981x = 546,033,959.23
  5. Step 5: Solve for x
    x = 546,033,959.23/25,981
  6. Step 6: Final answer
    x = 21,016.66

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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.