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Finding the Fourth Proportional to 28,592, 42,890.98 and 7,815.52

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Solution

The fourth proportional to 28,592, 42,890.98 and 7,815.52 is: 11,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,592 : 42,890.98 = 7,815.52 : x
  2. Step 2: Convert to fraction form
    28,592/42,890.98 = 7,815.52/x
  3. Step 3: Cross multiply
    28,592x = 42,890.98 × 7,815.52
  4. Step 4: Simplify right side
    28,592x = 335,215,312.01
  5. Step 5: Solve for x
    x = 335,215,312.01/28,592
  6. Step 6: Final answer
    x = 11,724.09

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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.