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Finding the Fourth Proportional to 28,648, 42,974.43 and 7,871.50

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Solution

The fourth proportional to 28,648, 42,974.43 and 7,871.50 is: 11,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,648 : 42,974.43 = 7,871.50 : x
  2. Step 2: Convert to fraction form
    28,648/42,974.43 = 7,871.50/x
  3. Step 3: Cross multiply
    28,648x = 42,974.43 × 7,871.50
  4. Step 4: Simplify right side
    28,648x = 338,273,225.75
  5. Step 5: Solve for x
    x = 338,273,225.75/28,648
  6. Step 6: Final answer
    x = 11,807.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.