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Finding the Fourth Proportional to 34,371, 47,424.78 and 20,225.40

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Solution

The fourth proportional to 34,371, 47,424.78 and 20,225.40 is: 27,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,371 : 47,424.78 = 20,225.40 : x
  2. Step 2: Convert to fraction form
    34,371/47,424.78 = 20,225.40/x
  3. Step 3: Cross multiply
    34,371x = 47,424.78 × 20,225.40
  4. Step 4: Simplify right side
    34,371x = 959,185,145.41
  5. Step 5: Solve for x
    x = 959,185,145.41/34,371
  6. Step 6: Final answer
    x = 27,906.82

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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.