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Finding the Fourth Proportional to 28,230, 42,345 and 9,762

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Solution

The fourth proportional to 28,230, 42,345 and 9,762 is: 14,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,230 : 42,345 = 9,762 : x
  2. Step 2: Convert to fraction form
    28,230/42,345 = 9,762/x
  3. Step 3: Cross multiply
    28,230x = 42,345 × 9,762
  4. Step 4: Simplify right side
    28,230x = 413,371,890
  5. Step 5: Solve for x
    x = 413,371,890/28,230
  6. Step 6: Final answer
    x = 14,643

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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.