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Finding the Fourth Proportional to 52,828.88, 72,904.84 and 28,954

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Solution

The fourth proportional to 52,828.88, 72,904.84 and 28,954 is: 39,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.88 : 72,904.84 = 28,954 : x
  2. Step 2: Convert to fraction form
    52,828.88/72,904.84 = 28,954/x
  3. Step 3: Cross multiply
    52,828.88x = 72,904.84 × 28,954
  4. Step 4: Simplify right side
    52,828.88x = 2,110,886,737.36
  5. Step 5: Solve for x
    x = 2,110,886,737.36/52,828.88
  6. Step 6: Final answer
    x = 39,957.06

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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.