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Finding the Fourth Proportional to 28,252, 42,378 and 9,784

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Solution

The fourth proportional to 28,252, 42,378 and 9,784 is: 14,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,252 : 42,378 = 9,784 : x
  2. Step 2: Convert to fraction form
    28,252/42,378 = 9,784/x
  3. Step 3: Cross multiply
    28,252x = 42,378 × 9,784
  4. Step 4: Simplify right side
    28,252x = 414,626,352
  5. Step 5: Solve for x
    x = 414,626,352/28,252
  6. Step 6: Final answer
    x = 14,676

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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.