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Finding the Fourth Proportional to 35,680, 49,227.36 and 20,570.74

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Solution

The fourth proportional to 35,680, 49,227.36 and 20,570.74 is: 28,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680 : 49,227.36 = 20,570.74 : x
  2. Step 2: Convert to fraction form
    35,680/49,227.36 = 20,570.74/x
  3. Step 3: Cross multiply
    35,680x = 49,227.36 × 20,570.74
  4. Step 4: Simplify right side
    35,680x = 1,012,643,223.45
  5. Step 5: Solve for x
    x = 1,012,643,223.45/35,680
  6. Step 6: Final answer
    x = 28,381.26

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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.