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Finding the Fourth Proportional to 25,871, 35,711.74 and 15,119.38

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Solution

The fourth proportional to 25,871, 35,711.74 and 15,119.38 is: 20,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871 : 35,711.74 = 15,119.38 : x
  2. Step 2: Convert to fraction form
    25,871/35,711.74 = 15,119.38/x
  3. Step 3: Cross multiply
    25,871x = 35,711.74 × 15,119.38
  4. Step 4: Simplify right side
    25,871x = 539,939,367.52
  5. Step 5: Solve for x
    x = 539,939,367.52/25,871
  6. Step 6: Final answer
    x = 20,870.45

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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.