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Finding the Fourth Proportional to 28,242, 42,363 and 9,774

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Solution

The fourth proportional to 28,242, 42,363 and 9,774 is: 14,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242 : 42,363 = 9,774 : x
  2. Step 2: Convert to fraction form
    28,242/42,363 = 9,774/x
  3. Step 3: Cross multiply
    28,242x = 42,363 × 9,774
  4. Step 4: Simplify right side
    28,242x = 414,055,962
  5. Step 5: Solve for x
    x = 414,055,962/28,242
  6. Step 6: Final answer
    x = 14,661

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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.