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Finding the Fourth Proportional to 41,280, 56,965.84 and 22,417.84

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Solution

The fourth proportional to 41,280, 56,965.84 and 22,417.84 is: 30,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280 : 56,965.84 = 22,417.84 : x
  2. Step 2: Convert to fraction form
    41,280/56,965.84 = 22,417.84/x
  3. Step 3: Cross multiply
    41,280x = 56,965.84 × 22,417.84
  4. Step 4: Simplify right side
    41,280x = 1,277,051,086.59
  5. Step 5: Solve for x
    x = 1,277,051,086.59/41,280
  6. Step 6: Final answer
    x = 30,936.32

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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.