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Finding the Fourth Proportional to 52,410, 72,325.80 and 28,858

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Solution

The fourth proportional to 52,410, 72,325.80 and 28,858 is: 39,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,410 : 72,325.80 = 28,858 : x
  2. Step 2: Convert to fraction form
    52,410/72,325.80 = 28,858/x
  3. Step 3: Cross multiply
    52,410x = 72,325.80 × 28,858
  4. Step 4: Simplify right side
    52,410x = 2,087,177,936.40
  5. Step 5: Solve for x
    x = 2,087,177,936.40/52,410
  6. Step 6: Final answer
    x = 39,824.04

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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.