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Finding the Fourth Proportional to 35,858.72, 49,471.80 and 21,706.40

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Solution

The fourth proportional to 35,858.72, 49,471.80 and 21,706.40 is: 29,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.72 : 49,471.80 = 21,706.40 : x
  2. Step 2: Convert to fraction form
    35,858.72/49,471.80 = 21,706.40/x
  3. Step 3: Cross multiply
    35,858.72x = 49,471.80 × 21,706.40
  4. Step 4: Simplify right side
    35,858.72x = 1,073,854,432.16
  5. Step 5: Solve for x
    x = 1,073,854,432.16/35,858.72
  6. Step 6: Final answer
    x = 29,946.82

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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.