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Finding the Fourth Proportional to 35,470.40, 48,940.32 and 22,880

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Solution

The fourth proportional to 35,470.40, 48,940.32 and 22,880 is: 31,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.40 : 48,940.32 = 22,880 : x
  2. Step 2: Convert to fraction form
    35,470.40/48,940.32 = 22,880/x
  3. Step 3: Cross multiply
    35,470.40x = 48,940.32 × 22,880
  4. Step 4: Simplify right side
    35,470.40x = 1,119,754,521.60
  5. Step 5: Solve for x
    x = 1,119,754,521.60/35,470.40
  6. Step 6: Final answer
    x = 31,568.70

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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.